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Finding the Fourth Proportional to 500.69, 750.51 and 175.82

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Solution

The fourth proportional to 500.69, 750.51 and 175.82 is: 263.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.69 : 750.51 = 175.82 : x
  2. Step 2: Convert to fraction form
    500.69/750.51 = 175.82/x
  3. Step 3: Cross multiply
    500.69x = 750.51 × 175.82
  4. Step 4: Simplify right side
    500.69x = 131,954.67
  5. Step 5: Solve for x
    x = 131,954.67/500.69
  6. Step 6: Final answer
    x = 263.55

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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.