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Finding the Fourth Proportional to 627.58, 864.20 and 538.40

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Solution

The fourth proportional to 627.58, 864.20 and 538.40 is: 741.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.58 : 864.20 = 538.40 : x
  2. Step 2: Convert to fraction form
    627.58/864.20 = 538.40/x
  3. Step 3: Cross multiply
    627.58x = 864.20 × 538.40
  4. Step 4: Simplify right side
    627.58x = 465,285.28
  5. Step 5: Solve for x
    x = 465,285.28/627.58
  6. Step 6: Final answer
    x = 741.40

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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.