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Finding the Fourth Proportional to 399.55, 596.00 and 393.17

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Solution

The fourth proportional to 399.55, 596.00 and 393.17 is: 586.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.55 : 596.00 = 393.17 : x
  2. Step 2: Convert to fraction form
    399.55/596.00 = 393.17/x
  3. Step 3: Cross multiply
    399.55x = 596.00 × 393.17
  4. Step 4: Simplify right side
    399.55x = 234,331.79
  5. Step 5: Solve for x
    x = 234,331.79/399.55
  6. Step 6: Final answer
    x = 586.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.