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Finding the Fourth Proportional to 463.24, 695.60 and 324.93

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Solution

The fourth proportional to 463.24, 695.60 and 324.93 is: 487.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.24 : 695.60 = 324.93 : x
  2. Step 2: Convert to fraction form
    463.24/695.60 = 324.93/x
  3. Step 3: Cross multiply
    463.24x = 695.60 × 324.93
  4. Step 4: Simplify right side
    463.24x = 226,021.31
  5. Step 5: Solve for x
    x = 226,021.31/463.24
  6. Step 6: Final answer
    x = 487.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.