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Finding the Fourth Proportional to 403.72, 605.64 and 402.24

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Solution

The fourth proportional to 403.72, 605.64 and 402.24 is: 603.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.72 : 605.64 = 402.24 : x
  2. Step 2: Convert to fraction form
    403.72/605.64 = 402.24/x
  3. Step 3: Cross multiply
    403.72x = 605.64 × 402.24
  4. Step 4: Simplify right side
    403.72x = 243,613.01
  5. Step 5: Solve for x
    x = 243,613.01/403.72
  6. Step 6: Final answer
    x = 603.42

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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.