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Finding the Fourth Proportional to 454.84, 627.64 and 258.32

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Solution

The fourth proportional to 454.84, 627.64 and 258.32 is: 356.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.84 : 627.64 = 258.32 : x
  2. Step 2: Convert to fraction form
    454.84/627.64 = 258.32/x
  3. Step 3: Cross multiply
    454.84x = 627.64 × 258.32
  4. Step 4: Simplify right side
    454.84x = 162,127.54
  5. Step 5: Solve for x
    x = 162,127.54/454.84
  6. Step 6: Final answer
    x = 356.45

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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.