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Finding the Fourth Proportional to 658.47, 988.47 and 384.76

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Solution

The fourth proportional to 658.47, 988.47 and 384.76 is: 577.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.47 : 988.47 = 384.76 : x
  2. Step 2: Convert to fraction form
    658.47/988.47 = 384.76/x
  3. Step 3: Cross multiply
    658.47x = 988.47 × 384.76
  4. Step 4: Simplify right side
    658.47x = 380,324.95
  5. Step 5: Solve for x
    x = 380,324.95/658.47
  6. Step 6: Final answer
    x = 577.59

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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.