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Finding the Fourth Proportional to 406.36, 560.26 and 311.95

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Solution

The fourth proportional to 406.36, 560.26 and 311.95 is: 430.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.36 : 560.26 = 311.95 : x
  2. Step 2: Convert to fraction form
    406.36/560.26 = 311.95/x
  3. Step 3: Cross multiply
    406.36x = 560.26 × 311.95
  4. Step 4: Simplify right side
    406.36x = 174,774.20
  5. Step 5: Solve for x
    x = 174,774.20/406.36
  6. Step 6: Final answer
    x = 430.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.