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Finding the Fourth Proportional to 384.85, 577.31 and 124.84

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Solution

The fourth proportional to 384.85, 577.31 and 124.84 is: 187.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.85 : 577.31 = 124.84 : x
  2. Step 2: Convert to fraction form
    384.85/577.31 = 124.84/x
  3. Step 3: Cross multiply
    384.85x = 577.31 × 124.84
  4. Step 4: Simplify right side
    384.85x = 72,071.38
  5. Step 5: Solve for x
    x = 72,071.38/384.85
  6. Step 6: Final answer
    x = 187.27

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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.