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Finding the Fourth Proportional to 500.07, 749.99 and 175.44

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Solution

The fourth proportional to 500.07, 749.99 and 175.44 is: 263.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.07 : 749.99 = 175.44 : x
  2. Step 2: Convert to fraction form
    500.07/749.99 = 175.44/x
  3. Step 3: Cross multiply
    500.07x = 749.99 × 175.44
  4. Step 4: Simplify right side
    500.07x = 131,576.81
  5. Step 5: Solve for x
    x = 131,576.81/500.07
  6. Step 6: Final answer
    x = 263.12

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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.