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Finding the Fourth Proportional to 566.99, 851.01 and 293.27

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Solution

The fourth proportional to 566.99, 851.01 and 293.27 is: 440.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.99 : 851.01 = 293.27 : x
  2. Step 2: Convert to fraction form
    566.99/851.01 = 293.27/x
  3. Step 3: Cross multiply
    566.99x = 851.01 × 293.27
  4. Step 4: Simplify right side
    566.99x = 249,571.45
  5. Step 5: Solve for x
    x = 249,571.45/566.99
  6. Step 6: Final answer
    x = 440.17

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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.