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Finding the Fourth Proportional to 596.68, 818.15 and 541.24

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Solution

The fourth proportional to 596.68, 818.15 and 541.24 is: 742.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.68 : 818.15 = 541.24 : x
  2. Step 2: Convert to fraction form
    596.68/818.15 = 541.24/x
  3. Step 3: Cross multiply
    596.68x = 818.15 × 541.24
  4. Step 4: Simplify right side
    596.68x = 442,815.51
  5. Step 5: Solve for x
    x = 442,815.51/596.68
  6. Step 6: Final answer
    x = 742.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.