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Finding the Fourth Proportional to 384.85, 577.33 and 124.77

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Solution

The fourth proportional to 384.85, 577.33 and 124.77 is: 187.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.85 : 577.33 = 124.77 : x
  2. Step 2: Convert to fraction form
    384.85/577.33 = 124.77/x
  3. Step 3: Cross multiply
    384.85x = 577.33 × 124.77
  4. Step 4: Simplify right side
    384.85x = 72,033.78
  5. Step 5: Solve for x
    x = 72,033.78/384.85
  6. Step 6: Final answer
    x = 187.17

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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.