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Finding the Fourth Proportional to 468.04, 696.68 and 461.11

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Solution

The fourth proportional to 468.04, 696.68 and 461.11 is: 686.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.04 : 696.68 = 461.11 : x
  2. Step 2: Convert to fraction form
    468.04/696.68 = 461.11/x
  3. Step 3: Cross multiply
    468.04x = 696.68 × 461.11
  4. Step 4: Simplify right side
    468.04x = 321,246.11
  5. Step 5: Solve for x
    x = 321,246.11/468.04
  6. Step 6: Final answer
    x = 686.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.