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Finding the Fourth Proportional to 577.72, 866.90 and 253.36

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Solution

The fourth proportional to 577.72, 866.90 and 253.36 is: 380.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.72 : 866.90 = 253.36 : x
  2. Step 2: Convert to fraction form
    577.72/866.90 = 253.36/x
  3. Step 3: Cross multiply
    577.72x = 866.90 × 253.36
  4. Step 4: Simplify right side
    577.72x = 219,637.78
  5. Step 5: Solve for x
    x = 219,637.78/577.72
  6. Step 6: Final answer
    x = 380.18

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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.