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Finding the Fourth Proportional to 566.99, 854.34 and 466.52

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Solution

The fourth proportional to 566.99, 854.34 and 466.52 is: 702.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.99 : 854.34 = 466.52 : x
  2. Step 2: Convert to fraction form
    566.99/854.34 = 466.52/x
  3. Step 3: Cross multiply
    566.99x = 854.34 × 466.52
  4. Step 4: Simplify right side
    566.99x = 398,566.70
  5. Step 5: Solve for x
    x = 398,566.70/566.99
  6. Step 6: Final answer
    x = 702.95

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Why These Related Problems?

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