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Finding the Fourth Proportional to 401.00, 549.36 and 386.42

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Solution

The fourth proportional to 401.00, 549.36 and 386.42 is: 529.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.00 : 549.36 = 386.42 : x
  2. Step 2: Convert to fraction form
    401.00/549.36 = 386.42/x
  3. Step 3: Cross multiply
    401.00x = 549.36 × 386.42
  4. Step 4: Simplify right side
    401.00x = 212,280.94
  5. Step 5: Solve for x
    x = 212,280.94/401.00
  6. Step 6: Final answer
    x = 529.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.