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Finding the Fourth Proportional to 685.16, 945.51 and 374.66

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Solution

The fourth proportional to 685.16, 945.51 and 374.66 is: 517.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.16 : 945.51 = 374.66 : x
  2. Step 2: Convert to fraction form
    685.16/945.51 = 374.66/x
  3. Step 3: Cross multiply
    685.16x = 945.51 × 374.66
  4. Step 4: Simplify right side
    685.16x = 354,244.78
  5. Step 5: Solve for x
    x = 354,244.78/685.16
  6. Step 6: Final answer
    x = 517.02

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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.