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Finding the Fourth Proportional to 871.88, 1,308.54 and 359.24

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Solution

The fourth proportional to 871.88, 1,308.54 and 359.24 is: 539.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.88 : 1,308.54 = 359.24 : x
  2. Step 2: Convert to fraction form
    871.88/1,308.54 = 359.24/x
  3. Step 3: Cross multiply
    871.88x = 1,308.54 × 359.24
  4. Step 4: Simplify right side
    871.88x = 470,079.91
  5. Step 5: Solve for x
    x = 470,079.91/871.88
  6. Step 6: Final answer
    x = 539.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.