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Finding the Fourth Proportional to 596.35, 823.19 and 534.07

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Solution

The fourth proportional to 596.35, 823.19 and 534.07 is: 737.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.35 : 823.19 = 534.07 : x
  2. Step 2: Convert to fraction form
    596.35/823.19 = 534.07/x
  3. Step 3: Cross multiply
    596.35x = 823.19 × 534.07
  4. Step 4: Simplify right side
    596.35x = 439,641.08
  5. Step 5: Solve for x
    x = 439,641.08/596.35
  6. Step 6: Final answer
    x = 737.22

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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.