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Finding the Fourth Proportional to 598.32, 825.84 and 411.84

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Solution

The fourth proportional to 598.32, 825.84 and 411.84 is: 568.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.32 : 825.84 = 411.84 : x
  2. Step 2: Convert to fraction form
    598.32/825.84 = 411.84/x
  3. Step 3: Cross multiply
    598.32x = 825.84 × 411.84
  4. Step 4: Simplify right side
    598.32x = 340,113.95
  5. Step 5: Solve for x
    x = 340,113.95/598.32
  6. Step 6: Final answer
    x = 568.45

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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.