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Finding the Fourth Proportional to 487.24, 731.46 and 384.86

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Solution

The fourth proportional to 487.24, 731.46 and 384.86 is: 577.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.24 : 731.46 = 384.86 : x
  2. Step 2: Convert to fraction form
    487.24/731.46 = 384.86/x
  3. Step 3: Cross multiply
    487.24x = 731.46 × 384.86
  4. Step 4: Simplify right side
    487.24x = 281,509.70
  5. Step 5: Solve for x
    x = 281,509.70/487.24
  6. Step 6: Final answer
    x = 577.76

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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.