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Finding the Fourth Proportional to 502.11, 752.81 and 242.01

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Solution

The fourth proportional to 502.11, 752.81 and 242.01 is: 362.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.11 : 752.81 = 242.01 : x
  2. Step 2: Convert to fraction form
    502.11/752.81 = 242.01/x
  3. Step 3: Cross multiply
    502.11x = 752.81 × 242.01
  4. Step 4: Simplify right side
    502.11x = 182,186.34
  5. Step 5: Solve for x
    x = 182,186.34/502.11
  6. Step 6: Final answer
    x = 362.84

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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.