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Finding the Fourth Proportional to 477.18, 714.33 and 285.18

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Solution

The fourth proportional to 477.18, 714.33 and 285.18 is: 426.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.18 : 714.33 = 285.18 : x
  2. Step 2: Convert to fraction form
    477.18/714.33 = 285.18/x
  3. Step 3: Cross multiply
    477.18x = 714.33 × 285.18
  4. Step 4: Simplify right side
    477.18x = 203,712.63
  5. Step 5: Solve for x
    x = 203,712.63/477.18
  6. Step 6: Final answer
    x = 426.91

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