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Finding the Fourth Proportional to 476.22, 714.42 and 314.04

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Solution

The fourth proportional to 476.22, 714.42 and 314.04 is: 471.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.22 : 714.42 = 314.04 : x
  2. Step 2: Convert to fraction form
    476.22/714.42 = 314.04/x
  3. Step 3: Cross multiply
    476.22x = 714.42 × 314.04
  4. Step 4: Simplify right side
    476.22x = 224,356.46
  5. Step 5: Solve for x
    x = 224,356.46/476.22
  6. Step 6: Final answer
    x = 471.12

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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.