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Finding the Fourth Proportional to 524.15, 724.26 and 376.52

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Solution

The fourth proportional to 524.15, 724.26 and 376.52 is: 520.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.15 : 724.26 = 376.52 : x
  2. Step 2: Convert to fraction form
    524.15/724.26 = 376.52/x
  3. Step 3: Cross multiply
    524.15x = 724.26 × 376.52
  4. Step 4: Simplify right side
    524.15x = 272,700.19
  5. Step 5: Solve for x
    x = 272,700.19/524.15
  6. Step 6: Final answer
    x = 520.28

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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.