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Finding the Fourth Proportional to 384.64, 577 and 124.58

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Solution

The fourth proportional to 384.64, 577 and 124.58 is: 186.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.64 : 577 = 124.58 : x
  2. Step 2: Convert to fraction form
    384.64/577 = 124.58/x
  3. Step 3: Cross multiply
    384.64x = 577 × 124.58
  4. Step 4: Simplify right side
    384.64x = 71,882.66
  5. Step 5: Solve for x
    x = 71,882.66/384.64
  6. Step 6: Final answer
    x = 186.88

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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.