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Finding the Fourth Proportional to 477.12, 714.72 and 284.64

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Solution

The fourth proportional to 477.12, 714.72 and 284.64 is: 426.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.12 : 714.72 = 284.64 : x
  2. Step 2: Convert to fraction form
    477.12/714.72 = 284.64/x
  3. Step 3: Cross multiply
    477.12x = 714.72 × 284.64
  4. Step 4: Simplify right side
    477.12x = 203,437.90
  5. Step 5: Solve for x
    x = 203,437.90/477.12
  6. Step 6: Final answer
    x = 426.39

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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.