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Finding the Fourth Proportional to 577.14, 865.80 and 288.78

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Solution

The fourth proportional to 577.14, 865.80 and 288.78 is: 433.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.14 : 865.80 = 288.78 : x
  2. Step 2: Convert to fraction form
    577.14/865.80 = 288.78/x
  3. Step 3: Cross multiply
    577.14x = 865.80 × 288.78
  4. Step 4: Simplify right side
    577.14x = 250,025.72
  5. Step 5: Solve for x
    x = 250,025.72/577.14
  6. Step 6: Final answer
    x = 433.22

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1.5x scale

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.