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Finding the Fourth Proportional to 898.32, 1,346.94 and 350.22

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Solution

The fourth proportional to 898.32, 1,346.94 and 350.22 is: 525.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.32 : 1,346.94 = 350.22 : x
  2. Step 2: Convert to fraction form
    898.32/1,346.94 = 350.22/x
  3. Step 3: Cross multiply
    898.32x = 1,346.94 × 350.22
  4. Step 4: Simplify right side
    898.32x = 471,725.33
  5. Step 5: Solve for x
    x = 471,725.33/898.32
  6. Step 6: Final answer
    x = 525.12

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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.