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Finding the Fourth Proportional to 585.94, 807.96 and 399.07

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Solution

The fourth proportional to 585.94, 807.96 and 399.07 is: 550.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.94 : 807.96 = 399.07 : x
  2. Step 2: Convert to fraction form
    585.94/807.96 = 399.07/x
  3. Step 3: Cross multiply
    585.94x = 807.96 × 399.07
  4. Step 4: Simplify right side
    585.94x = 322,432.60
  5. Step 5: Solve for x
    x = 322,432.60/585.94
  6. Step 6: Final answer
    x = 550.28

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