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Finding the Fourth Proportional to 898.70, 1,347.22 and 351.24

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Solution

The fourth proportional to 898.70, 1,347.22 and 351.24 is: 526.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.70 : 1,347.22 = 351.24 : x
  2. Step 2: Convert to fraction form
    898.70/1,347.22 = 351.24/x
  3. Step 3: Cross multiply
    898.70x = 1,347.22 × 351.24
  4. Step 4: Simplify right side
    898.70x = 473,197.55
  5. Step 5: Solve for x
    x = 473,197.55/898.70
  6. Step 6: Final answer
    x = 526.54

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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.