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Finding the Fourth Proportional to 291.42, 436.70 and 229.86

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Solution

The fourth proportional to 291.42, 436.70 and 229.86 is: 344.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.42 : 436.70 = 229.86 : x
  2. Step 2: Convert to fraction form
    291.42/436.70 = 229.86/x
  3. Step 3: Cross multiply
    291.42x = 436.70 × 229.86
  4. Step 4: Simplify right side
    291.42x = 100,381.02
  5. Step 5: Solve for x
    x = 100,381.02/291.42
  6. Step 6: Final answer
    x = 344.45

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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.