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Finding the Fourth Proportional to 584.16, 806.00 and 473.43

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Solution

The fourth proportional to 584.16, 806.00 and 473.43 is: 653.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.16 : 806.00 = 473.43 : x
  2. Step 2: Convert to fraction form
    584.16/806.00 = 473.43/x
  3. Step 3: Cross multiply
    584.16x = 806.00 × 473.43
  4. Step 4: Simplify right side
    584.16x = 381,582.21
  5. Step 5: Solve for x
    x = 381,582.21/584.16
  6. Step 6: Final answer
    x = 653.22

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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.