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Finding the Fourth Proportional to 565.94, 780.89 and 418.31

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Solution

The fourth proportional to 565.94, 780.89 and 418.31 is: 577.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.94 : 780.89 = 418.31 : x
  2. Step 2: Convert to fraction form
    565.94/780.89 = 418.31/x
  3. Step 3: Cross multiply
    565.94x = 780.89 × 418.31
  4. Step 4: Simplify right side
    565.94x = 326,657.77
  5. Step 5: Solve for x
    x = 326,657.77/565.94
  6. Step 6: Final answer
    x = 577.20

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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.