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Finding the Fourth Proportional to 561.65, 774.34 and 411.80

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Solution

The fourth proportional to 561.65, 774.34 and 411.80 is: 567.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.65 : 774.34 = 411.80 : x
  2. Step 2: Convert to fraction form
    561.65/774.34 = 411.80/x
  3. Step 3: Cross multiply
    561.65x = 774.34 × 411.80
  4. Step 4: Simplify right side
    561.65x = 318,868.31
  5. Step 5: Solve for x
    x = 318,868.31/561.65
  6. Step 6: Final answer
    x = 567.74

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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.