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Finding the Fourth Proportional to 291.32, 437 and 243.28

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Solution

The fourth proportional to 291.32, 437 and 243.28 is: 364.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.32 : 437 = 243.28 : x
  2. Step 2: Convert to fraction form
    291.32/437 = 243.28/x
  3. Step 3: Cross multiply
    291.32x = 437 × 243.28
  4. Step 4: Simplify right side
    291.32x = 106,313.36
  5. Step 5: Solve for x
    x = 106,313.36/291.32
  6. Step 6: Final answer
    x = 364.94

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