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Finding the Fourth Proportional to 566.22, 782.15 and 469.20

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Solution

The fourth proportional to 566.22, 782.15 and 469.20 is: 648.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.22 : 782.15 = 469.20 : x
  2. Step 2: Convert to fraction form
    566.22/782.15 = 469.20/x
  3. Step 3: Cross multiply
    566.22x = 782.15 × 469.20
  4. Step 4: Simplify right side
    566.22x = 366,982.43
  5. Step 5: Solve for x
    x = 366,982.43/566.22
  6. Step 6: Final answer
    x = 648.13

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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.