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Finding the Fourth Proportional to 500.94, 750.78 and 284.64

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Solution

The fourth proportional to 500.94, 750.78 and 284.64 is: 426.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.94 : 750.78 = 284.64 : x
  2. Step 2: Convert to fraction form
    500.94/750.78 = 284.64/x
  3. Step 3: Cross multiply
    500.94x = 750.78 × 284.64
  4. Step 4: Simplify right side
    500.94x = 213,702.02
  5. Step 5: Solve for x
    x = 213,702.02/500.94
  6. Step 6: Final answer
    x = 426.60

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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.