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Finding the Fourth Proportional to 454.65, 627.36 and 258.14

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Solution

The fourth proportional to 454.65, 627.36 and 258.14 is: 356.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.65 : 627.36 = 258.14 : x
  2. Step 2: Convert to fraction form
    454.65/627.36 = 258.14/x
  3. Step 3: Cross multiply
    454.65x = 627.36 × 258.14
  4. Step 4: Simplify right side
    454.65x = 161,943.57
  5. Step 5: Solve for x
    x = 161,943.57/454.65
  6. Step 6: Final answer
    x = 356.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.