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Finding the Fourth Proportional to 598.66, 898.24 and 310.30

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Solution

The fourth proportional to 598.66, 898.24 and 310.30 is: 465.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.66 : 898.24 = 310.30 : x
  2. Step 2: Convert to fraction form
    598.66/898.24 = 310.30/x
  3. Step 3: Cross multiply
    598.66x = 898.24 × 310.30
  4. Step 4: Simplify right side
    598.66x = 278,723.87
  5. Step 5: Solve for x
    x = 278,723.87/598.66
  6. Step 6: Final answer
    x = 465.58

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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.