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Finding the Fourth Proportional to 596.95, 896.06 and 432.61

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Solution

The fourth proportional to 596.95, 896.06 and 432.61 is: 649.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.95 : 896.06 = 432.61 : x
  2. Step 2: Convert to fraction form
    596.95/896.06 = 432.61/x
  3. Step 3: Cross multiply
    596.95x = 896.06 × 432.61
  4. Step 4: Simplify right side
    596.95x = 387,644.52
  5. Step 5: Solve for x
    x = 387,644.52/596.95
  6. Step 6: Final answer
    x = 649.38

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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.