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Finding the Fourth Proportional to 898.54, 1,347.96 and 350.71

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Solution

The fourth proportional to 898.54, 1,347.96 and 350.71 is: 526.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.54 : 1,347.96 = 350.71 : x
  2. Step 2: Convert to fraction form
    898.54/1,347.96 = 350.71/x
  3. Step 3: Cross multiply
    898.54x = 1,347.96 × 350.71
  4. Step 4: Simplify right side
    898.54x = 472,743.05
  5. Step 5: Solve for x
    x = 472,743.05/898.54
  6. Step 6: Final answer
    x = 526.12

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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.