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Finding the Fourth Proportional to 502.00, 753.03 and 242.12

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Solution

The fourth proportional to 502.00, 753.03 and 242.12 is: 363.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.00 : 753.03 = 242.12 : x
  2. Step 2: Convert to fraction form
    502.00/753.03 = 242.12/x
  3. Step 3: Cross multiply
    502.00x = 753.03 × 242.12
  4. Step 4: Simplify right side
    502.00x = 182,325.51
  5. Step 5: Solve for x
    x = 182,325.51/502.00
  6. Step 6: Final answer
    x = 363.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.