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Finding the Fourth Proportional to 500.71, 750.57 and 175.81

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Solution

The fourth proportional to 500.71, 750.57 and 175.81 is: 263.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.71 : 750.57 = 175.81 : x
  2. Step 2: Convert to fraction form
    500.71/750.57 = 175.81/x
  3. Step 3: Cross multiply
    500.71x = 750.57 × 175.81
  4. Step 4: Simplify right side
    500.71x = 131,957.71
  5. Step 5: Solve for x
    x = 131,957.71/500.71
  6. Step 6: Final answer
    x = 263.54

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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.