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Finding the Fourth Proportional to 715.60, 1,072.77 and 282.43

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Solution

The fourth proportional to 715.60, 1,072.77 and 282.43 is: 423.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.60 : 1,072.77 = 282.43 : x
  2. Step 2: Convert to fraction form
    715.60/1,072.77 = 282.43/x
  3. Step 3: Cross multiply
    715.60x = 1,072.77 × 282.43
  4. Step 4: Simplify right side
    715.60x = 302,982.43
  5. Step 5: Solve for x
    x = 302,982.43/715.60
  6. Step 6: Final answer
    x = 423.40

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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.