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Finding the Fourth Proportional to 598.44, 898.06 and 310.08

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Solution

The fourth proportional to 598.44, 898.06 and 310.08 is: 465.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.44 : 898.06 = 310.08 : x
  2. Step 2: Convert to fraction form
    598.44/898.06 = 310.08/x
  3. Step 3: Cross multiply
    598.44x = 898.06 × 310.08
  4. Step 4: Simplify right side
    598.44x = 278,470.44
  5. Step 5: Solve for x
    x = 278,470.44/598.44
  6. Step 6: Final answer
    x = 465.33

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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.