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Finding the Fourth Proportional to 524.87, 723.12 and 414.30

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Solution

The fourth proportional to 524.87, 723.12 and 414.30 is: 570.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.87 : 723.12 = 414.30 : x
  2. Step 2: Convert to fraction form
    524.87/723.12 = 414.30/x
  3. Step 3: Cross multiply
    524.87x = 723.12 × 414.30
  4. Step 4: Simplify right side
    524.87x = 299,588.62
  5. Step 5: Solve for x
    x = 299,588.62/524.87
  6. Step 6: Final answer
    x = 570.79

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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.