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Finding the Fourth Proportional to 715.02, 1,071.57 and 282.06

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Solution

The fourth proportional to 715.02, 1,071.57 and 282.06 is: 422.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.02 : 1,071.57 = 282.06 : x
  2. Step 2: Convert to fraction form
    715.02/1,071.57 = 282.06/x
  3. Step 3: Cross multiply
    715.02x = 1,071.57 × 282.06
  4. Step 4: Simplify right side
    715.02x = 302,247.03
  5. Step 5: Solve for x
    x = 302,247.03/715.02
  6. Step 6: Final answer
    x = 422.71

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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.