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Finding the Fourth Proportional to 291.96, 437.46 and 210.42

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Solution

The fourth proportional to 291.96, 437.46 and 210.42 is: 315.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.96 : 437.46 = 210.42 : x
  2. Step 2: Convert to fraction form
    291.96/437.46 = 210.42/x
  3. Step 3: Cross multiply
    291.96x = 437.46 × 210.42
  4. Step 4: Simplify right side
    291.96x = 92,050.33
  5. Step 5: Solve for x
    x = 92,050.33/291.96
  6. Step 6: Final answer
    x = 315.28

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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.