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Finding the Fourth Proportional to 577.89, 866.70 and 253.50

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Solution

The fourth proportional to 577.89, 866.70 and 253.50 is: 380.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.89 : 866.70 = 253.50 : x
  2. Step 2: Convert to fraction form
    577.89/866.70 = 253.50/x
  3. Step 3: Cross multiply
    577.89x = 866.70 × 253.50
  4. Step 4: Simplify right side
    577.89x = 219,708.45
  5. Step 5: Solve for x
    x = 219,708.45/577.89
  6. Step 6: Final answer
    x = 380.19

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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.