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Finding the Fourth Proportional to 778.42, 1,168.08 and 291.40

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Solution

The fourth proportional to 778.42, 1,168.08 and 291.40 is: 437.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.42 : 1,168.08 = 291.40 : x
  2. Step 2: Convert to fraction form
    778.42/1,168.08 = 291.40/x
  3. Step 3: Cross multiply
    778.42x = 1,168.08 × 291.40
  4. Step 4: Simplify right side
    778.42x = 340,378.51
  5. Step 5: Solve for x
    x = 340,378.51/778.42
  6. Step 6: Final answer
    x = 437.27

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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.