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Finding the Fourth Proportional to 401.00, 602.18 and 264.31

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Solution

The fourth proportional to 401.00, 602.18 and 264.31 is: 396.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.00 : 602.18 = 264.31 : x
  2. Step 2: Convert to fraction form
    401.00/602.18 = 264.31/x
  3. Step 3: Cross multiply
    401.00x = 602.18 × 264.31
  4. Step 4: Simplify right side
    401.00x = 159,165.23
  5. Step 5: Solve for x
    x = 159,165.23/401.00
  6. Step 6: Final answer
    x = 396.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.