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Finding the Fourth Proportional to 588.06, 881.82 and 425.52

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Solution

The fourth proportional to 588.06, 881.82 and 425.52 is: 638.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.06 : 881.82 = 425.52 : x
  2. Step 2: Convert to fraction form
    588.06/881.82 = 425.52/x
  3. Step 3: Cross multiply
    588.06x = 881.82 × 425.52
  4. Step 4: Simplify right side
    588.06x = 375,232.05
  5. Step 5: Solve for x
    x = 375,232.05/588.06
  6. Step 6: Final answer
    x = 638.08

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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.