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Finding the Fourth Proportional to 401.61, 602.82 and 360.75

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Solution

The fourth proportional to 401.61, 602.82 and 360.75 is: 541.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.61 : 602.82 = 360.75 : x
  2. Step 2: Convert to fraction form
    401.61/602.82 = 360.75/x
  3. Step 3: Cross multiply
    401.61x = 602.82 × 360.75
  4. Step 4: Simplify right side
    401.61x = 217,467.32
  5. Step 5: Solve for x
    x = 217,467.32/401.61
  6. Step 6: Final answer
    x = 541.49

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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.