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Finding the Fourth Proportional to 309.39, 461.18 and 291.77

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Solution

The fourth proportional to 309.39, 461.18 and 291.77 is: 434.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.39 : 461.18 = 291.77 : x
  2. Step 2: Convert to fraction form
    309.39/461.18 = 291.77/x
  3. Step 3: Cross multiply
    309.39x = 461.18 × 291.77
  4. Step 4: Simplify right side
    309.39x = 134,554.72
  5. Step 5: Solve for x
    x = 134,554.72/309.39
  6. Step 6: Final answer
    x = 434.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.