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Finding the Fourth Proportional to 577.20, 866.07 and 333.93

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Solution

The fourth proportional to 577.20, 866.07 and 333.93 is: 501.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.20 : 866.07 = 333.93 : x
  2. Step 2: Convert to fraction form
    577.20/866.07 = 333.93/x
  3. Step 3: Cross multiply
    577.20x = 866.07 × 333.93
  4. Step 4: Simplify right side
    577.20x = 289,206.76
  5. Step 5: Solve for x
    x = 289,206.76/577.20
  6. Step 6: Final answer
    x = 501.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.