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Finding the Fourth Proportional to 501.03, 691.23 and 314.45

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Solution

The fourth proportional to 501.03, 691.23 and 314.45 is: 433.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.03 : 691.23 = 314.45 : x
  2. Step 2: Convert to fraction form
    501.03/691.23 = 314.45/x
  3. Step 3: Cross multiply
    501.03x = 691.23 × 314.45
  4. Step 4: Simplify right side
    501.03x = 217,357.59
  5. Step 5: Solve for x
    x = 217,357.59/501.03
  6. Step 6: Final answer
    x = 433.82

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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.