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Finding the Fourth Proportional to 577.11, 866.16 and 302.87

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Solution

The fourth proportional to 577.11, 866.16 and 302.87 is: 454.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.11 : 866.16 = 302.87 : x
  2. Step 2: Convert to fraction form
    577.11/866.16 = 302.87/x
  3. Step 3: Cross multiply
    577.11x = 866.16 × 302.87
  4. Step 4: Simplify right side
    577.11x = 262,336.04
  5. Step 5: Solve for x
    x = 262,336.04/577.11
  6. Step 6: Final answer
    x = 454.57

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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.