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Finding the Fourth Proportional to 524.29, 724.12 and 440.56

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Solution

The fourth proportional to 524.29, 724.12 and 440.56 is: 608.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.29 : 724.12 = 440.56 : x
  2. Step 2: Convert to fraction form
    524.29/724.12 = 440.56/x
  3. Step 3: Cross multiply
    524.29x = 724.12 × 440.56
  4. Step 4: Simplify right side
    524.29x = 319,018.31
  5. Step 5: Solve for x
    x = 319,018.31/524.29
  6. Step 6: Final answer
    x = 608.48

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1.5x scale

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.