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Finding the Fourth Proportional to 402.52, 555.34 and 253.08

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Solution

The fourth proportional to 402.52, 555.34 and 253.08 is: 349.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.52 : 555.34 = 253.08 : x
  2. Step 2: Convert to fraction form
    402.52/555.34 = 253.08/x
  3. Step 3: Cross multiply
    402.52x = 555.34 × 253.08
  4. Step 4: Simplify right side
    402.52x = 140,545.45
  5. Step 5: Solve for x
    x = 140,545.45/402.52
  6. Step 6: Final answer
    x = 349.16

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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.