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Finding the Fourth Proportional to 524.64, 724.20 and 350.40

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Solution

The fourth proportional to 524.64, 724.20 and 350.40 is: 483.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.64 : 724.20 = 350.40 : x
  2. Step 2: Convert to fraction form
    524.64/724.20 = 350.40/x
  3. Step 3: Cross multiply
    524.64x = 724.20 × 350.40
  4. Step 4: Simplify right side
    524.64x = 253,759.68
  5. Step 5: Solve for x
    x = 253,759.68/524.64
  6. Step 6: Final answer
    x = 483.68

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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.