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Finding the Fourth Proportional to 565.92, 780.75 and 418.86

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Solution

The fourth proportional to 565.92, 780.75 and 418.86 is: 577.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.92 : 780.75 = 418.86 : x
  2. Step 2: Convert to fraction form
    565.92/780.75 = 418.86/x
  3. Step 3: Cross multiply
    565.92x = 780.75 × 418.86
  4. Step 4: Simplify right side
    565.92x = 327,024.95
  5. Step 5: Solve for x
    x = 327,024.95/565.92
  6. Step 6: Final answer
    x = 577.86

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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.