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Finding the Fourth Proportional to 598.14, 824.72 and 432.27

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Solution

The fourth proportional to 598.14, 824.72 and 432.27 is: 596.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.14 : 824.72 = 432.27 : x
  2. Step 2: Convert to fraction form
    598.14/824.72 = 432.27/x
  3. Step 3: Cross multiply
    598.14x = 824.72 × 432.27
  4. Step 4: Simplify right side
    598.14x = 356,499.55
  5. Step 5: Solve for x
    x = 356,499.55/598.14
  6. Step 6: Final answer
    x = 596.01

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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.