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Finding the Fourth Proportional to 476.36, 714.06 and 314.12

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Solution

The fourth proportional to 476.36, 714.06 and 314.12 is: 470.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.36 : 714.06 = 314.12 : x
  2. Step 2: Convert to fraction form
    476.36/714.06 = 314.12/x
  3. Step 3: Cross multiply
    476.36x = 714.06 × 314.12
  4. Step 4: Simplify right side
    476.36x = 224,300.53
  5. Step 5: Solve for x
    x = 224,300.53/476.36
  6. Step 6: Final answer
    x = 470.86

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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.