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Finding the Fourth Proportional to 389.03, 583.01 and 215.44

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Solution

The fourth proportional to 389.03, 583.01 and 215.44 is: 322.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.03 : 583.01 = 215.44 : x
  2. Step 2: Convert to fraction form
    389.03/583.01 = 215.44/x
  3. Step 3: Cross multiply
    389.03x = 583.01 × 215.44
  4. Step 4: Simplify right side
    389.03x = 125,603.67
  5. Step 5: Solve for x
    x = 125,603.67/389.03
  6. Step 6: Final answer
    x = 322.86

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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.