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Finding the Fourth Proportional to 579.07, 864.82 and 463.69

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Solution

The fourth proportional to 579.07, 864.82 and 463.69 is: 692.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.07 : 864.82 = 463.69 : x
  2. Step 2: Convert to fraction form
    579.07/864.82 = 463.69/x
  3. Step 3: Cross multiply
    579.07x = 864.82 × 463.69
  4. Step 4: Simplify right side
    579.07x = 401,008.39
  5. Step 5: Solve for x
    x = 401,008.39/579.07
  6. Step 6: Final answer
    x = 692.50

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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.