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Finding the Fourth Proportional to 565.48, 780.42 and 416.17

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Solution

The fourth proportional to 565.48, 780.42 and 416.17 is: 574.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.48 : 780.42 = 416.17 : x
  2. Step 2: Convert to fraction form
    565.48/780.42 = 416.17/x
  3. Step 3: Cross multiply
    565.48x = 780.42 × 416.17
  4. Step 4: Simplify right side
    565.48x = 324,787.39
  5. Step 5: Solve for x
    x = 324,787.39/565.48
  6. Step 6: Final answer
    x = 574.36

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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.