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Finding the Fourth Proportional to 598.65, 824.98 and 432.55

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Solution

The fourth proportional to 598.65, 824.98 and 432.55 is: 596.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.65 : 824.98 = 432.55 : x
  2. Step 2: Convert to fraction form
    598.65/824.98 = 432.55/x
  3. Step 3: Cross multiply
    598.65x = 824.98 × 432.55
  4. Step 4: Simplify right side
    598.65x = 356,845.10
  5. Step 5: Solve for x
    x = 356,845.10/598.65
  6. Step 6: Final answer
    x = 596.08

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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.