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Finding the Fourth Proportional to 401.04, 601.71 and 264.05

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Solution

The fourth proportional to 401.04, 601.71 and 264.05 is: 396.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.04 : 601.71 = 264.05 : x
  2. Step 2: Convert to fraction form
    401.04/601.71 = 264.05/x
  3. Step 3: Cross multiply
    401.04x = 601.71 × 264.05
  4. Step 4: Simplify right side
    401.04x = 158,881.53
  5. Step 5: Solve for x
    x = 158,881.53/401.04
  6. Step 6: Final answer
    x = 396.17

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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.