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Finding the Fourth Proportional to 402.90, 600.88 and 364.02

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Solution

The fourth proportional to 402.90, 600.88 and 364.02 is: 542.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.90 : 600.88 = 364.02 : x
  2. Step 2: Convert to fraction form
    402.90/600.88 = 364.02/x
  3. Step 3: Cross multiply
    402.90x = 600.88 × 364.02
  4. Step 4: Simplify right side
    402.90x = 218,732.34
  5. Step 5: Solve for x
    x = 218,732.34/402.90
  6. Step 6: Final answer
    x = 542.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.