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Finding the Fourth Proportional to 500.10, 750.87 and 281.16

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Solution

The fourth proportional to 500.10, 750.87 and 281.16 is: 422.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.10 : 750.87 = 281.16 : x
  2. Step 2: Convert to fraction form
    500.10/750.87 = 281.16/x
  3. Step 3: Cross multiply
    500.10x = 750.87 × 281.16
  4. Step 4: Simplify right side
    500.10x = 211,114.61
  5. Step 5: Solve for x
    x = 211,114.61/500.10
  6. Step 6: Final answer
    x = 422.14

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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.