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Finding the Fourth Proportional to 577.12, 865.44 and 211.84

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Solution

The fourth proportional to 577.12, 865.44 and 211.84 is: 317.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.12 : 865.44 = 211.84 : x
  2. Step 2: Convert to fraction form
    577.12/865.44 = 211.84/x
  3. Step 3: Cross multiply
    577.12x = 865.44 × 211.84
  4. Step 4: Simplify right side
    577.12x = 183,334.81
  5. Step 5: Solve for x
    x = 183,334.81/577.12
  6. Step 6: Final answer
    x = 317.67

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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.