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Finding the Fourth Proportional to 588.30, 883.14 and 467.10

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Solution

The fourth proportional to 588.30, 883.14 and 467.10 is: 701.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.30 : 883.14 = 467.10 : x
  2. Step 2: Convert to fraction form
    588.30/883.14 = 467.10/x
  3. Step 3: Cross multiply
    588.30x = 883.14 × 467.10
  4. Step 4: Simplify right side
    588.30x = 412,514.69
  5. Step 5: Solve for x
    x = 412,514.69/588.30
  6. Step 6: Final answer
    x = 701.20

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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.