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Finding the Fourth Proportional to 501.93, 693.06 and 324.98

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Solution

The fourth proportional to 501.93, 693.06 and 324.98 is: 448.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.93 : 693.06 = 324.98 : x
  2. Step 2: Convert to fraction form
    501.93/693.06 = 324.98/x
  3. Step 3: Cross multiply
    501.93x = 693.06 × 324.98
  4. Step 4: Simplify right side
    501.93x = 225,227.17
  5. Step 5: Solve for x
    x = 225,227.17/501.93
  6. Step 6: Final answer
    x = 448.72

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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.