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Finding the Fourth Proportional to 566.74, 853.97 and 466.28

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Solution

The fourth proportional to 566.74, 853.97 and 466.28 is: 702.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.74 : 853.97 = 466.28 : x
  2. Step 2: Convert to fraction form
    566.74/853.97 = 466.28/x
  3. Step 3: Cross multiply
    566.74x = 853.97 × 466.28
  4. Step 4: Simplify right side
    566.74x = 398,182.53
  5. Step 5: Solve for x
    x = 398,182.53/566.74
  6. Step 6: Final answer
    x = 702.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.