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Finding the Fourth Proportional to 463.68, 698.74 and 459.54

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Solution

The fourth proportional to 463.68, 698.74 and 459.54 is: 692.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.68 : 698.74 = 459.54 : x
  2. Step 2: Convert to fraction form
    463.68/698.74 = 459.54/x
  3. Step 3: Cross multiply
    463.68x = 698.74 × 459.54
  4. Step 4: Simplify right side
    463.68x = 321,097.83
  5. Step 5: Solve for x
    x = 321,097.83/463.68
  6. Step 6: Final answer
    x = 692.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.