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Finding the Fourth Proportional to 500.34, 750.34 and 175.63

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Solution

The fourth proportional to 500.34, 750.34 and 175.63 is: 263.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.34 : 750.34 = 175.63 : x
  2. Step 2: Convert to fraction form
    500.34/750.34 = 175.63/x
  3. Step 3: Cross multiply
    500.34x = 750.34 × 175.63
  4. Step 4: Simplify right side
    500.34x = 131,781.34
  5. Step 5: Solve for x
    x = 131,781.34/500.34
  6. Step 6: Final answer
    x = 263.38

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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.