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Finding the Fourth Proportional to 588.60, 808.62 and 527.22

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Solution

The fourth proportional to 588.60, 808.62 and 527.22 is: 724.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.60 : 808.62 = 527.22 : x
  2. Step 2: Convert to fraction form
    588.60/808.62 = 527.22/x
  3. Step 3: Cross multiply
    588.60x = 808.62 × 527.22
  4. Step 4: Simplify right side
    588.60x = 426,320.64
  5. Step 5: Solve for x
    x = 426,320.64/588.60
  6. Step 6: Final answer
    x = 724.30

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.