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Finding the Fourth Proportional to 871.80, 1,308.24 and 384.90

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Solution

The fourth proportional to 871.80, 1,308.24 and 384.90 is: 577.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.80 : 1,308.24 = 384.90 : x
  2. Step 2: Convert to fraction form
    871.80/1,308.24 = 384.90/x
  3. Step 3: Cross multiply
    871.80x = 1,308.24 × 384.90
  4. Step 4: Simplify right side
    871.80x = 503,541.58
  5. Step 5: Solve for x
    x = 503,541.58/871.80
  6. Step 6: Final answer
    x = 577.59

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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.