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Finding the Fourth Proportional to 384.74, 577 and 141.13

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Solution

The fourth proportional to 384.74, 577 and 141.13 is: 211.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.74 : 577 = 141.13 : x
  2. Step 2: Convert to fraction form
    384.74/577 = 141.13/x
  3. Step 3: Cross multiply
    384.74x = 577 × 141.13
  4. Step 4: Simplify right side
    384.74x = 81,432.01
  5. Step 5: Solve for x
    x = 81,432.01/384.74
  6. Step 6: Final answer
    x = 211.65

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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.