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Finding the Fourth Proportional to 384.76, 577.10 and 124.77

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Solution

The fourth proportional to 384.76, 577.10 and 124.77 is: 187.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.76 : 577.10 = 124.77 : x
  2. Step 2: Convert to fraction form
    384.76/577.10 = 124.77/x
  3. Step 3: Cross multiply
    384.76x = 577.10 × 124.77
  4. Step 4: Simplify right side
    384.76x = 72,005.08
  5. Step 5: Solve for x
    x = 72,005.08/384.76
  6. Step 6: Final answer
    x = 187.14

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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.