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Finding the Fourth Proportional to 501.09, 691.50 and 314.46

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Solution

The fourth proportional to 501.09, 691.50 and 314.46 is: 433.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.09 : 691.50 = 314.46 : x
  2. Step 2: Convert to fraction form
    501.09/691.50 = 314.46/x
  3. Step 3: Cross multiply
    501.09x = 691.50 × 314.46
  4. Step 4: Simplify right side
    501.09x = 217,449.09
  5. Step 5: Solve for x
    x = 217,449.09/501.09
  6. Step 6: Final answer
    x = 433.95

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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.