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Finding the Fourth Proportional to 598.28, 824.82 and 423.32

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Solution

The fourth proportional to 598.28, 824.82 and 423.32 is: 583.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.28 : 824.82 = 423.32 : x
  2. Step 2: Convert to fraction form
    598.28/824.82 = 423.32/x
  3. Step 3: Cross multiply
    598.28x = 824.82 × 423.32
  4. Step 4: Simplify right side
    598.28x = 349,162.80
  5. Step 5: Solve for x
    x = 349,162.80/598.28
  6. Step 6: Final answer
    x = 583.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.