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Finding the Fourth Proportional to 458.65, 688.17 and 198.52

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Solution

The fourth proportional to 458.65, 688.17 and 198.52 is: 297.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.65 : 688.17 = 198.52 : x
  2. Step 2: Convert to fraction form
    458.65/688.17 = 198.52/x
  3. Step 3: Cross multiply
    458.65x = 688.17 × 198.52
  4. Step 4: Simplify right side
    458.65x = 136,615.51
  5. Step 5: Solve for x
    x = 136,615.51/458.65
  6. Step 6: Final answer
    x = 297.86

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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.