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Finding the Fourth Proportional to 524.94, 724.55 and 359.43

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Solution

The fourth proportional to 524.94, 724.55 and 359.43 is: 496.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.94 : 724.55 = 359.43 : x
  2. Step 2: Convert to fraction form
    524.94/724.55 = 359.43/x
  3. Step 3: Cross multiply
    524.94x = 724.55 × 359.43
  4. Step 4: Simplify right side
    524.94x = 260,423.21
  5. Step 5: Solve for x
    x = 260,423.21/524.94
  6. Step 6: Final answer
    x = 496.10

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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.