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Finding the Fourth Proportional to 468, 697.85 and 463.82

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Solution

The fourth proportional to 468, 697.85 and 463.82 is: 691.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    468 : 697.85 = 463.82 : x
  2. Step 2: Convert to fraction form
    468/697.85 = 463.82/x
  3. Step 3: Cross multiply
    468x = 697.85 × 463.82
  4. Step 4: Simplify right side
    468x = 323,670.98
  5. Step 5: Solve for x
    x = 323,670.98/468
  6. Step 6: Final answer
    x = 691.60

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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.