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Finding the Fourth Proportional to 291.43, 436.49 and 278.67

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Solution

The fourth proportional to 291.43, 436.49 and 278.67 is: 417.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.43 : 436.49 = 278.67 : x
  2. Step 2: Convert to fraction form
    291.43/436.49 = 278.67/x
  3. Step 3: Cross multiply
    291.43x = 436.49 × 278.67
  4. Step 4: Simplify right side
    291.43x = 121,637.96
  5. Step 5: Solve for x
    x = 121,637.96/291.43
  6. Step 6: Final answer
    x = 417.38

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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.