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Finding the Fourth Proportional to 468.34, 698.96 and 457.42

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Solution

The fourth proportional to 468.34, 698.96 and 457.42 is: 682.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.34 : 698.96 = 457.42 : x
  2. Step 2: Convert to fraction form
    468.34/698.96 = 457.42/x
  3. Step 3: Cross multiply
    468.34x = 698.96 × 457.42
  4. Step 4: Simplify right side
    468.34x = 319,718.28
  5. Step 5: Solve for x
    x = 319,718.28/468.34
  6. Step 6: Final answer
    x = 682.66

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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.