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Finding the Fourth Proportional to 598.24, 898.08 and 382.24

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Solution

The fourth proportional to 598.24, 898.08 and 382.24 is: 573.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.24 : 898.08 = 382.24 : x
  2. Step 2: Convert to fraction form
    598.24/898.08 = 382.24/x
  3. Step 3: Cross multiply
    598.24x = 898.08 × 382.24
  4. Step 4: Simplify right side
    598.24x = 343,282.10
  5. Step 5: Solve for x
    x = 343,282.10/598.24
  6. Step 6: Final answer
    x = 573.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.