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Finding the Fourth Proportional to 850.29, 1,275.62 and 302.64

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Solution

The fourth proportional to 850.29, 1,275.62 and 302.64 is: 454.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.29 : 1,275.62 = 302.64 : x
  2. Step 2: Convert to fraction form
    850.29/1,275.62 = 302.64/x
  3. Step 3: Cross multiply
    850.29x = 1,275.62 × 302.64
  4. Step 4: Simplify right side
    850.29x = 386,052.12
  5. Step 5: Solve for x
    x = 386,052.12/850.29
  6. Step 6: Final answer
    x = 454.02

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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.