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Finding the Fourth Proportional to 854.47, 1,282.25 and 306.64

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Solution

The fourth proportional to 854.47, 1,282.25 and 306.64 is: 460.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.47 : 1,282.25 = 306.64 : x
  2. Step 2: Convert to fraction form
    854.47/1,282.25 = 306.64/x
  3. Step 3: Cross multiply
    854.47x = 1,282.25 × 306.64
  4. Step 4: Simplify right side
    854.47x = 393,189.14
  5. Step 5: Solve for x
    x = 393,189.14/854.47
  6. Step 6: Final answer
    x = 460.16

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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.