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Finding the Fourth Proportional to 554.48, 763.76 and 461.04

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Solution

The fourth proportional to 554.48, 763.76 and 461.04 is: 635.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.48 : 763.76 = 461.04 : x
  2. Step 2: Convert to fraction form
    554.48/763.76 = 461.04/x
  3. Step 3: Cross multiply
    554.48x = 763.76 × 461.04
  4. Step 4: Simplify right side
    554.48x = 352,123.91
  5. Step 5: Solve for x
    x = 352,123.91/554.48
  6. Step 6: Final answer
    x = 635.05

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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.