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Finding the Fourth Proportional to 524.44, 723.67 and 314.58

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Solution

The fourth proportional to 524.44, 723.67 and 314.58 is: 434.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.44 : 723.67 = 314.58 : x
  2. Step 2: Convert to fraction form
    524.44/723.67 = 314.58/x
  3. Step 3: Cross multiply
    524.44x = 723.67 × 314.58
  4. Step 4: Simplify right side
    524.44x = 227,654.04
  5. Step 5: Solve for x
    x = 227,654.04/524.44
  6. Step 6: Final answer
    x = 434.09

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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.