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Finding the Fourth Proportional to 500.40, 750.84 and 284.04

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Solution

The fourth proportional to 500.40, 750.84 and 284.04 is: 426.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.40 : 750.84 = 284.04 : x
  2. Step 2: Convert to fraction form
    500.40/750.84 = 284.04/x
  3. Step 3: Cross multiply
    500.40x = 750.84 × 284.04
  4. Step 4: Simplify right side
    500.40x = 213,268.59
  5. Step 5: Solve for x
    x = 213,268.59/500.40
  6. Step 6: Final answer
    x = 426.20

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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.