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Finding the Fourth Proportional to 588.92, 813.35 and 402.08

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Solution

The fourth proportional to 588.92, 813.35 and 402.08 is: 555.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.92 : 813.35 = 402.08 : x
  2. Step 2: Convert to fraction form
    588.92/813.35 = 402.08/x
  3. Step 3: Cross multiply
    588.92x = 813.35 × 402.08
  4. Step 4: Simplify right side
    588.92x = 327,028.71
  5. Step 5: Solve for x
    x = 327,028.71/588.92
  6. Step 6: Final answer
    x = 555.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.