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Finding the Fourth Proportional to 565.92, 780.78 and 341.82

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Solution

The fourth proportional to 565.92, 780.78 and 341.82 is: 471.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.92 : 780.78 = 341.82 : x
  2. Step 2: Convert to fraction form
    565.92/780.78 = 341.82/x
  3. Step 3: Cross multiply
    565.92x = 780.78 × 341.82
  4. Step 4: Simplify right side
    565.92x = 266,886.22
  5. Step 5: Solve for x
    x = 266,886.22/565.92
  6. Step 6: Final answer
    x = 471.60

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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.