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Finding the Fourth Proportional to 524.29, 723.22 and 334.88

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Solution

The fourth proportional to 524.29, 723.22 and 334.88 is: 461.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.29 : 723.22 = 334.88 : x
  2. Step 2: Convert to fraction form
    524.29/723.22 = 334.88/x
  3. Step 3: Cross multiply
    524.29x = 723.22 × 334.88
  4. Step 4: Simplify right side
    524.29x = 242,191.91
  5. Step 5: Solve for x
    x = 242,191.91/524.29
  6. Step 6: Final answer
    x = 461.95

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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.