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Finding the Fourth Proportional to 577.60, 866.40 and 192.80

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Solution

The fourth proportional to 577.60, 866.40 and 192.80 is: 289.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.60 : 866.40 = 192.80 : x
  2. Step 2: Convert to fraction form
    577.60/866.40 = 192.80/x
  3. Step 3: Cross multiply
    577.60x = 866.40 × 192.80
  4. Step 4: Simplify right side
    577.60x = 167,041.92
  5. Step 5: Solve for x
    x = 167,041.92/577.60
  6. Step 6: Final answer
    x = 289.20

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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.