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Finding the Fourth Proportional to 476.57, 714.69 and 313.17

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Solution

The fourth proportional to 476.57, 714.69 and 313.17 is: 469.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.57 : 714.69 = 313.17 : x
  2. Step 2: Convert to fraction form
    476.57/714.69 = 313.17/x
  3. Step 3: Cross multiply
    476.57x = 714.69 × 313.17
  4. Step 4: Simplify right side
    476.57x = 223,819.47
  5. Step 5: Solve for x
    x = 223,819.47/476.57
  6. Step 6: Final answer
    x = 469.65

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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.