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Finding the Fourth Proportional to 566.95, 782.49 and 410.12

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Solution

The fourth proportional to 566.95, 782.49 and 410.12 is: 566.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.95 : 782.49 = 410.12 : x
  2. Step 2: Convert to fraction form
    566.95/782.49 = 410.12/x
  3. Step 3: Cross multiply
    566.95x = 782.49 × 410.12
  4. Step 4: Simplify right side
    566.95x = 320,914.80
  5. Step 5: Solve for x
    x = 320,914.80/566.95
  6. Step 6: Final answer
    x = 566.04

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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.