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Finding the Fourth Proportional to 500.71, 750.84 and 295.33

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Solution

The fourth proportional to 500.71, 750.84 and 295.33 is: 442.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.71 : 750.84 = 295.33 : x
  2. Step 2: Convert to fraction form
    500.71/750.84 = 295.33/x
  3. Step 3: Cross multiply
    500.71x = 750.84 × 295.33
  4. Step 4: Simplify right side
    500.71x = 221,745.58
  5. Step 5: Solve for x
    x = 221,745.58/500.71
  6. Step 6: Final answer
    x = 442.86

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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.