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Finding the Fourth Proportional to 399.06, 551.01 and 259.28

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Solution

The fourth proportional to 399.06, 551.01 and 259.28 is: 358.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.06 : 551.01 = 259.28 : x
  2. Step 2: Convert to fraction form
    399.06/551.01 = 259.28/x
  3. Step 3: Cross multiply
    399.06x = 551.01 × 259.28
  4. Step 4: Simplify right side
    399.06x = 142,865.87
  5. Step 5: Solve for x
    x = 142,865.87/399.06
  6. Step 6: Final answer
    x = 358.01

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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.