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Finding the Fourth Proportional to 453.74, 680.14 and 258.32

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Solution

The fourth proportional to 453.74, 680.14 and 258.32 is: 387.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.74 : 680.14 = 258.32 : x
  2. Step 2: Convert to fraction form
    453.74/680.14 = 258.32/x
  3. Step 3: Cross multiply
    453.74x = 680.14 × 258.32
  4. Step 4: Simplify right side
    453.74x = 175,693.12
  5. Step 5: Solve for x
    x = 175,693.12/453.74
  6. Step 6: Final answer
    x = 387.21

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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.