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Finding the Fourth Proportional to 588.88, 813.32 and 402.05

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Solution

The fourth proportional to 588.88, 813.32 and 402.05 is: 555.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.88 : 813.32 = 402.05 : x
  2. Step 2: Convert to fraction form
    588.88/813.32 = 402.05/x
  3. Step 3: Cross multiply
    588.88x = 813.32 × 402.05
  4. Step 4: Simplify right side
    588.88x = 326,995.31
  5. Step 5: Solve for x
    x = 326,995.31/588.88
  6. Step 6: Final answer
    x = 555.28

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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.