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Finding the Fourth Proportional to 598.21, 824.74 and 432.46

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Solution

The fourth proportional to 598.21, 824.74 and 432.46 is: 596.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.21 : 824.74 = 432.46 : x
  2. Step 2: Convert to fraction form
    598.21/824.74 = 432.46/x
  3. Step 3: Cross multiply
    598.21x = 824.74 × 432.46
  4. Step 4: Simplify right side
    598.21x = 356,667.06
  5. Step 5: Solve for x
    x = 356,667.06/598.21
  6. Step 6: Final answer
    x = 596.22

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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.