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Finding the Fourth Proportional to 587.76, 882.12 and 371.28

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Solution

The fourth proportional to 587.76, 882.12 and 371.28 is: 557.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.76 : 882.12 = 371.28 : x
  2. Step 2: Convert to fraction form
    587.76/882.12 = 371.28/x
  3. Step 3: Cross multiply
    587.76x = 882.12 × 371.28
  4. Step 4: Simplify right side
    587.76x = 327,513.51
  5. Step 5: Solve for x
    x = 327,513.51/587.76
  6. Step 6: Final answer
    x = 557.22

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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.