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Finding the Fourth Proportional to 476.68, 715.02 and 314.47

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Solution

The fourth proportional to 476.68, 715.02 and 314.47 is: 471.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.68 : 715.02 = 314.47 : x
  2. Step 2: Convert to fraction form
    476.68/715.02 = 314.47/x
  3. Step 3: Cross multiply
    476.68x = 715.02 × 314.47
  4. Step 4: Simplify right side
    476.68x = 224,852.34
  5. Step 5: Solve for x
    x = 224,852.34/476.68
  6. Step 6: Final answer
    x = 471.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.