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Finding the Fourth Proportional to 674.76, 931.32 and 441.75

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Solution

The fourth proportional to 674.76, 931.32 and 441.75 is: 609.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.76 : 931.32 = 441.75 : x
  2. Step 2: Convert to fraction form
    674.76/931.32 = 441.75/x
  3. Step 3: Cross multiply
    674.76x = 931.32 × 441.75
  4. Step 4: Simplify right side
    674.76x = 411,410.61
  5. Step 5: Solve for x
    x = 411,410.61/674.76
  6. Step 6: Final answer
    x = 609.71

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Find fourth proportional to 337.38, 465.66 and 220.88
Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.