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Finding the Fourth Proportional to 577.68, 866.75 and 253.28

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Solution

The fourth proportional to 577.68, 866.75 and 253.28 is: 380.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.68 : 866.75 = 253.28 : x
  2. Step 2: Convert to fraction form
    577.68/866.75 = 253.28/x
  3. Step 3: Cross multiply
    577.68x = 866.75 × 253.28
  4. Step 4: Simplify right side
    577.68x = 219,524.84
  5. Step 5: Solve for x
    x = 219,524.84/577.68
  6. Step 6: Final answer
    x = 380.01

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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.