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Finding the Fourth Proportional to 608.83, 840.47 and 399.01

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Solution

The fourth proportional to 608.83, 840.47 and 399.01 is: 550.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.83 : 840.47 = 399.01 : x
  2. Step 2: Convert to fraction form
    608.83/840.47 = 399.01/x
  3. Step 3: Cross multiply
    608.83x = 840.47 × 399.01
  4. Step 4: Simplify right side
    608.83x = 335,356.04
  5. Step 5: Solve for x
    x = 335,356.04/608.83
  6. Step 6: Final answer
    x = 550.82

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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.