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Finding the Fourth Proportional to 310.16, 427.66 and 291.33

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Solution

The fourth proportional to 310.16, 427.66 and 291.33 is: 401.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.16 : 427.66 = 291.33 : x
  2. Step 2: Convert to fraction form
    310.16/427.66 = 291.33/x
  3. Step 3: Cross multiply
    310.16x = 427.66 × 291.33
  4. Step 4: Simplify right side
    310.16x = 124,590.19
  5. Step 5: Solve for x
    x = 124,590.19/310.16
  6. Step 6: Final answer
    x = 401.70

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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.