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Finding the Fourth Proportional to 384.65, 577.14 and 141.24

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Solution

The fourth proportional to 384.65, 577.14 and 141.24 is: 211.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.65 : 577.14 = 141.24 : x
  2. Step 2: Convert to fraction form
    384.65/577.14 = 141.24/x
  3. Step 3: Cross multiply
    384.65x = 577.14 × 141.24
  4. Step 4: Simplify right side
    384.65x = 81,514.55
  5. Step 5: Solve for x
    x = 81,514.55/384.65
  6. Step 6: Final answer
    x = 211.92

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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.