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Finding the Fourth Proportional to 584.04, 806.22 and 362.92

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Solution

The fourth proportional to 584.04, 806.22 and 362.92 is: 500.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.04 : 806.22 = 362.92 : x
  2. Step 2: Convert to fraction form
    584.04/806.22 = 362.92/x
  3. Step 3: Cross multiply
    584.04x = 806.22 × 362.92
  4. Step 4: Simplify right side
    584.04x = 292,593.36
  5. Step 5: Solve for x
    x = 292,593.36/584.04
  6. Step 6: Final answer
    x = 500.98

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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.