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Finding the Fourth Proportional to 400.03, 552.02 and 257.99

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Solution

The fourth proportional to 400.03, 552.02 and 257.99 is: 356.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.03 : 552.02 = 257.99 : x
  2. Step 2: Convert to fraction form
    400.03/552.02 = 257.99/x
  3. Step 3: Cross multiply
    400.03x = 552.02 × 257.99
  4. Step 4: Simplify right side
    400.03x = 142,415.64
  5. Step 5: Solve for x
    x = 142,415.64/400.03
  6. Step 6: Final answer
    x = 356.01

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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.