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Finding the Fourth Proportional to 715.06, 1,072.86 and 282.25

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Solution

The fourth proportional to 715.06, 1,072.86 and 282.25 is: 423.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.06 : 1,072.86 = 282.25 : x
  2. Step 2: Convert to fraction form
    715.06/1,072.86 = 282.25/x
  3. Step 3: Cross multiply
    715.06x = 1,072.86 × 282.25
  4. Step 4: Simplify right side
    715.06x = 302,814.74
  5. Step 5: Solve for x
    x = 302,814.74/715.06
  6. Step 6: Final answer
    x = 423.48

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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.