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Finding the Fourth Proportional to 502.22, 692.88 and 305.66

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Solution

The fourth proportional to 502.22, 692.88 and 305.66 is: 421.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.22 : 692.88 = 305.66 : x
  2. Step 2: Convert to fraction form
    502.22/692.88 = 305.66/x
  3. Step 3: Cross multiply
    502.22x = 692.88 × 305.66
  4. Step 4: Simplify right side
    502.22x = 211,785.70
  5. Step 5: Solve for x
    x = 211,785.70/502.22
  6. Step 6: Final answer
    x = 421.70

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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.