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Finding the Fourth Proportional to 524.48, 723.76 and 314.54

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Solution

The fourth proportional to 524.48, 723.76 and 314.54 is: 434.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.48 : 723.76 = 314.54 : x
  2. Step 2: Convert to fraction form
    524.48/723.76 = 314.54/x
  3. Step 3: Cross multiply
    524.48x = 723.76 × 314.54
  4. Step 4: Simplify right side
    524.48x = 227,647.07
  5. Step 5: Solve for x
    x = 227,647.07/524.48
  6. Step 6: Final answer
    x = 434.04

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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.