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Finding the Fourth Proportional to 762.32, 1,143.48 and 306.64

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Solution

The fourth proportional to 762.32, 1,143.48 and 306.64 is: 459.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.32 : 1,143.48 = 306.64 : x
  2. Step 2: Convert to fraction form
    762.32/1,143.48 = 306.64/x
  3. Step 3: Cross multiply
    762.32x = 1,143.48 × 306.64
  4. Step 4: Simplify right side
    762.32x = 350,636.71
  5. Step 5: Solve for x
    x = 350,636.71/762.32
  6. Step 6: Final answer
    x = 459.96

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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.