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Finding the Fourth Proportional to 468.18, 699.17 and 463.10

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Solution

The fourth proportional to 468.18, 699.17 and 463.10 is: 691.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.18 : 699.17 = 463.10 : x
  2. Step 2: Convert to fraction form
    468.18/699.17 = 463.10/x
  3. Step 3: Cross multiply
    468.18x = 699.17 × 463.10
  4. Step 4: Simplify right side
    468.18x = 323,779.82
  5. Step 5: Solve for x
    x = 323,779.82/468.18
  6. Step 6: Final answer
    x = 691.57

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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.