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Finding the Fourth Proportional to 403.18, 603.98 and 229.32

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Solution

The fourth proportional to 403.18, 603.98 and 229.32 is: 343.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.18 : 603.98 = 229.32 : x
  2. Step 2: Convert to fraction form
    403.18/603.98 = 229.32/x
  3. Step 3: Cross multiply
    403.18x = 603.98 × 229.32
  4. Step 4: Simplify right side
    403.18x = 138,501.67
  5. Step 5: Solve for x
    x = 138,501.67/403.18
  6. Step 6: Final answer
    x = 343.53

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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.