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Finding the Fourth Proportional to 588.30, 883.14 and 529.53

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Solution

The fourth proportional to 588.30, 883.14 and 529.53 is: 794.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.30 : 883.14 = 529.53 : x
  2. Step 2: Convert to fraction form
    588.30/883.14 = 529.53/x
  3. Step 3: Cross multiply
    588.30x = 883.14 × 529.53
  4. Step 4: Simplify right side
    588.30x = 467,649.12
  5. Step 5: Solve for x
    x = 467,649.12/588.30
  6. Step 6: Final answer
    x = 794.92

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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.