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Finding the Fourth Proportional to 596.50, 893.63 and 532.15

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Solution

The fourth proportional to 596.50, 893.63 and 532.15 is: 797.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.50 : 893.63 = 532.15 : x
  2. Step 2: Convert to fraction form
    596.50/893.63 = 532.15/x
  3. Step 3: Cross multiply
    596.50x = 893.63 × 532.15
  4. Step 4: Simplify right side
    596.50x = 475,545.20
  5. Step 5: Solve for x
    x = 475,545.20/596.50
  6. Step 6: Final answer
    x = 797.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.