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Finding the Fourth Proportional to 554.40, 765.17 and 461.02

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Solution

The fourth proportional to 554.40, 765.17 and 461.02 is: 636.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.40 : 765.17 = 461.02 : x
  2. Step 2: Convert to fraction form
    554.40/765.17 = 461.02/x
  3. Step 3: Cross multiply
    554.40x = 765.17 × 461.02
  4. Step 4: Simplify right side
    554.40x = 352,758.67
  5. Step 5: Solve for x
    x = 352,758.67/554.40
  6. Step 6: Final answer
    x = 636.29

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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.