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Finding the Fourth Proportional to 500.02, 750.07 and 240.14

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Solution

The fourth proportional to 500.02, 750.07 and 240.14 is: 360.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.02 : 750.07 = 240.14 : x
  2. Step 2: Convert to fraction form
    500.02/750.07 = 240.14/x
  3. Step 3: Cross multiply
    500.02x = 750.07 × 240.14
  4. Step 4: Simplify right side
    500.02x = 180,123.99
  5. Step 5: Solve for x
    x = 180,123.99/500.02
  6. Step 6: Final answer
    x = 360.24

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