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Finding the Fourth Proportional to 720.46, 994.10 and 440.76

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Solution

The fourth proportional to 720.46, 994.10 and 440.76 is: 608.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.46 : 994.10 = 440.76 : x
  2. Step 2: Convert to fraction form
    720.46/994.10 = 440.76/x
  3. Step 3: Cross multiply
    720.46x = 994.10 × 440.76
  4. Step 4: Simplify right side
    720.46x = 438,159.52
  5. Step 5: Solve for x
    x = 438,159.52/720.46
  6. Step 6: Final answer
    x = 608.17

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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.