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Finding the Fourth Proportional to 524.46, 724.23 and 436.08

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Solution

The fourth proportional to 524.46, 724.23 and 436.08 is: 602.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.46 : 724.23 = 436.08 : x
  2. Step 2: Convert to fraction form
    524.46/724.23 = 436.08/x
  3. Step 3: Cross multiply
    524.46x = 724.23 × 436.08
  4. Step 4: Simplify right side
    524.46x = 315,822.22
  5. Step 5: Solve for x
    x = 315,822.22/524.46
  6. Step 6: Final answer
    x = 602.19

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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.