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Finding the Fourth Proportional to 291.16, 436.04 and 232.98

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Solution

The fourth proportional to 291.16, 436.04 and 232.98 is: 348.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.16 : 436.04 = 232.98 : x
  2. Step 2: Convert to fraction form
    291.16/436.04 = 232.98/x
  3. Step 3: Cross multiply
    291.16x = 436.04 × 232.98
  4. Step 4: Simplify right side
    291.16x = 101,588.60
  5. Step 5: Solve for x
    x = 101,588.60/291.16
  6. Step 6: Final answer
    x = 348.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.