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Finding the Fourth Proportional to 389.17, 583.75 and 204.13

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Solution

The fourth proportional to 389.17, 583.75 and 204.13 is: 306.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.17 : 583.75 = 204.13 : x
  2. Step 2: Convert to fraction form
    389.17/583.75 = 204.13/x
  3. Step 3: Cross multiply
    389.17x = 583.75 × 204.13
  4. Step 4: Simplify right side
    389.17x = 119,160.89
  5. Step 5: Solve for x
    x = 119,160.89/389.17
  6. Step 6: Final answer
    x = 306.19

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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.