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Finding the Fourth Proportional to 524.56, 724.08 and 350.08

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Solution

The fourth proportional to 524.56, 724.08 and 350.08 is: 483.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.56 : 724.08 = 350.08 : x
  2. Step 2: Convert to fraction form
    524.56/724.08 = 350.08/x
  3. Step 3: Cross multiply
    524.56x = 724.08 × 350.08
  4. Step 4: Simplify right side
    524.56x = 253,485.93
  5. Step 5: Solve for x
    x = 253,485.93/524.56
  6. Step 6: Final answer
    x = 483.24

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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.