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Finding the Fourth Proportional to 524.55, 723.84 and 325.29

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Solution

The fourth proportional to 524.55, 723.84 and 325.29 is: 448.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.55 : 723.84 = 325.29 : x
  2. Step 2: Convert to fraction form
    524.55/723.84 = 325.29/x
  3. Step 3: Cross multiply
    524.55x = 723.84 × 325.29
  4. Step 4: Simplify right side
    524.55x = 235,457.91
  5. Step 5: Solve for x
    x = 235,457.91/524.55
  6. Step 6: Final answer
    x = 448.88

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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.