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Finding the Fourth Proportional to 579.67, 800.76 and 462.40

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Solution

The fourth proportional to 579.67, 800.76 and 462.40 is: 638.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.67 : 800.76 = 462.40 : x
  2. Step 2: Convert to fraction form
    579.67/800.76 = 462.40/x
  3. Step 3: Cross multiply
    579.67x = 800.76 × 462.40
  4. Step 4: Simplify right side
    579.67x = 370,271.42
  5. Step 5: Solve for x
    x = 370,271.42/579.67
  6. Step 6: Final answer
    x = 638.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.