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Finding the Fourth Proportional to 291.32, 435.32 and 213.76

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Solution

The fourth proportional to 291.32, 435.32 and 213.76 is: 319.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.32 : 435.32 = 213.76 : x
  2. Step 2: Convert to fraction form
    291.32/435.32 = 213.76/x
  3. Step 3: Cross multiply
    291.32x = 435.32 × 213.76
  4. Step 4: Simplify right side
    291.32x = 93,054.00
  5. Step 5: Solve for x
    x = 93,054.00/291.32
  6. Step 6: Final answer
    x = 319.42

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Why These Related Problems?

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