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Finding the Fourth Proportional to 477.16, 714.49 and 384.12

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Solution

The fourth proportional to 477.16, 714.49 and 384.12 is: 575.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.16 : 714.49 = 384.12 : x
  2. Step 2: Convert to fraction form
    477.16/714.49 = 384.12/x
  3. Step 3: Cross multiply
    477.16x = 714.49 × 384.12
  4. Step 4: Simplify right side
    477.16x = 274,449.90
  5. Step 5: Solve for x
    x = 274,449.90/477.16
  6. Step 6: Final answer
    x = 575.17

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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.