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Finding the Fourth Proportional to 584.04, 806.09 and 371.21

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Solution

The fourth proportional to 584.04, 806.09 and 371.21 is: 512.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.04 : 806.09 = 371.21 : x
  2. Step 2: Convert to fraction form
    584.04/806.09 = 371.21/x
  3. Step 3: Cross multiply
    584.04x = 806.09 × 371.21
  4. Step 4: Simplify right side
    584.04x = 299,228.67
  5. Step 5: Solve for x
    x = 299,228.67/584.04
  6. Step 6: Final answer
    x = 512.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.