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Finding the Fourth Proportional to 403.74, 605.76 and 230.30

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Solution

The fourth proportional to 403.74, 605.76 and 230.30 is: 345.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.74 : 605.76 = 230.30 : x
  2. Step 2: Convert to fraction form
    403.74/605.76 = 230.30/x
  3. Step 3: Cross multiply
    403.74x = 605.76 × 230.30
  4. Step 4: Simplify right side
    403.74x = 139,506.53
  5. Step 5: Solve for x
    x = 139,506.53/403.74
  6. Step 6: Final answer
    x = 345.54

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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.