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Finding the Fourth Proportional to 501.07, 691.50 and 314.56

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Solution

The fourth proportional to 501.07, 691.50 and 314.56 is: 434.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.07 : 691.50 = 314.56 : x
  2. Step 2: Convert to fraction form
    501.07/691.50 = 314.56/x
  3. Step 3: Cross multiply
    501.07x = 691.50 × 314.56
  4. Step 4: Simplify right side
    501.07x = 217,518.24
  5. Step 5: Solve for x
    x = 217,518.24/501.07
  6. Step 6: Final answer
    x = 434.11

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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.