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Finding the Fourth Proportional to 566.90, 782.44 and 334.10

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Solution

The fourth proportional to 566.90, 782.44 and 334.10 is: 461.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.90 : 782.44 = 334.10 : x
  2. Step 2: Convert to fraction form
    566.90/782.44 = 334.10/x
  3. Step 3: Cross multiply
    566.90x = 782.44 × 334.10
  4. Step 4: Simplify right side
    566.90x = 261,413.20
  5. Step 5: Solve for x
    x = 261,413.20/566.90
  6. Step 6: Final answer
    x = 461.13

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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.