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Finding the Fourth Proportional to 674.06, 929.24 and 524.88

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Solution

The fourth proportional to 674.06, 929.24 and 524.88 is: 723.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.06 : 929.24 = 524.88 : x
  2. Step 2: Convert to fraction form
    674.06/929.24 = 524.88/x
  3. Step 3: Cross multiply
    674.06x = 929.24 × 524.88
  4. Step 4: Simplify right side
    674.06x = 487,738.84
  5. Step 5: Solve for x
    x = 487,738.84/674.06
  6. Step 6: Final answer
    x = 723.59

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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.