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Finding the Fourth Proportional to 587.93, 882.28 and 314.22

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Solution

The fourth proportional to 587.93, 882.28 and 314.22 is: 471.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.93 : 882.28 = 314.22 : x
  2. Step 2: Convert to fraction form
    587.93/882.28 = 314.22/x
  3. Step 3: Cross multiply
    587.93x = 882.28 × 314.22
  4. Step 4: Simplify right side
    587.93x = 277,230.02
  5. Step 5: Solve for x
    x = 277,230.02/587.93
  6. Step 6: Final answer
    x = 471.54

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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.