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Finding the Fourth Proportional to 577.38, 865.81 and 212.06

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Solution

The fourth proportional to 577.38, 865.81 and 212.06 is: 317.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.38 : 865.81 = 212.06 : x
  2. Step 2: Convert to fraction form
    577.38/865.81 = 212.06/x
  3. Step 3: Cross multiply
    577.38x = 865.81 × 212.06
  4. Step 4: Simplify right side
    577.38x = 183,603.67
  5. Step 5: Solve for x
    x = 183,603.67/577.38
  6. Step 6: Final answer
    x = 317.99

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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.