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Finding the Fourth Proportional to 566.26, 780.45 and 461.12

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Solution

The fourth proportional to 566.26, 780.45 and 461.12 is: 635.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.26 : 780.45 = 461.12 : x
  2. Step 2: Convert to fraction form
    566.26/780.45 = 461.12/x
  3. Step 3: Cross multiply
    566.26x = 780.45 × 461.12
  4. Step 4: Simplify right side
    566.26x = 359,881.10
  5. Step 5: Solve for x
    x = 359,881.10/566.26
  6. Step 6: Final answer
    x = 635.55

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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.