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Finding the Fourth Proportional to 501.46, 691.75 and 299.48

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Solution

The fourth proportional to 501.46, 691.75 and 299.48 is: 413.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.46 : 691.75 = 299.48 : x
  2. Step 2: Convert to fraction form
    501.46/691.75 = 299.48/x
  3. Step 3: Cross multiply
    501.46x = 691.75 × 299.48
  4. Step 4: Simplify right side
    501.46x = 207,165.29
  5. Step 5: Solve for x
    x = 207,165.29/501.46
  6. Step 6: Final answer
    x = 413.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.