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Finding the Fourth Proportional to 768.27, 1,150.35 and 402.32

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Solution

The fourth proportional to 768.27, 1,150.35 and 402.32 is: 602.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.27 : 1,150.35 = 402.32 : x
  2. Step 2: Convert to fraction form
    768.27/1,150.35 = 402.32/x
  3. Step 3: Cross multiply
    768.27x = 1,150.35 × 402.32
  4. Step 4: Simplify right side
    768.27x = 462,808.81
  5. Step 5: Solve for x
    x = 462,808.81/768.27
  6. Step 6: Final answer
    x = 602.40

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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.