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Finding the Fourth Proportional to 501.28, 691.74 and 314.50

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Solution

The fourth proportional to 501.28, 691.74 and 314.50 is: 433.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.28 : 691.74 = 314.50 : x
  2. Step 2: Convert to fraction form
    501.28/691.74 = 314.50/x
  3. Step 3: Cross multiply
    501.28x = 691.74 × 314.50
  4. Step 4: Simplify right side
    501.28x = 217,552.23
  5. Step 5: Solve for x
    x = 217,552.23/501.28
  6. Step 6: Final answer
    x = 433.99

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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.