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Finding the Fourth Proportional to 966.62, 1,449.48 and 350.22

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Solution

The fourth proportional to 966.62, 1,449.48 and 350.22 is: 525.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.62 : 1,449.48 = 350.22 : x
  2. Step 2: Convert to fraction form
    966.62/1,449.48 = 350.22/x
  3. Step 3: Cross multiply
    966.62x = 1,449.48 × 350.22
  4. Step 4: Simplify right side
    966.62x = 507,636.89
  5. Step 5: Solve for x
    x = 507,636.89/966.62
  6. Step 6: Final answer
    x = 525.17

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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.