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Finding the Fourth Proportional to 524, 723.12 and 314.24

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Solution

The fourth proportional to 524, 723.12 and 314.24 is: 433.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    524 : 723.12 = 314.24 : x
  2. Step 2: Convert to fraction form
    524/723.12 = 314.24/x
  3. Step 3: Cross multiply
    524x = 723.12 × 314.24
  4. Step 4: Simplify right side
    524x = 227,233.23
  5. Step 5: Solve for x
    x = 227,233.23/524
  6. Step 6: Final answer
    x = 433.65

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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.