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Finding the Fourth Proportional to 501.06, 691.76 and 324.07

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Solution

The fourth proportional to 501.06, 691.76 and 324.07 is: 447.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.06 : 691.76 = 324.07 : x
  2. Step 2: Convert to fraction form
    501.06/691.76 = 324.07/x
  3. Step 3: Cross multiply
    501.06x = 691.76 × 324.07
  4. Step 4: Simplify right side
    501.06x = 224,178.66
  5. Step 5: Solve for x
    x = 224,178.66/501.06
  6. Step 6: Final answer
    x = 447.41

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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.