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Finding the Fourth Proportional to 565.46, 849.81 and 277.10

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Solution

The fourth proportional to 565.46, 849.81 and 277.10 is: 416.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.46 : 849.81 = 277.10 : x
  2. Step 2: Convert to fraction form
    565.46/849.81 = 277.10/x
  3. Step 3: Cross multiply
    565.46x = 849.81 × 277.10
  4. Step 4: Simplify right side
    565.46x = 235,476.72
  5. Step 5: Solve for x
    x = 235,476.72/565.46
  6. Step 6: Final answer
    x = 416.44

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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.