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Finding the Fourth Proportional to 403.58, 603.06 and 330.50

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Solution

The fourth proportional to 403.58, 603.06 and 330.50 is: 493.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.58 : 603.06 = 330.50 : x
  2. Step 2: Convert to fraction form
    403.58/603.06 = 330.50/x
  3. Step 3: Cross multiply
    403.58x = 603.06 × 330.50
  4. Step 4: Simplify right side
    403.58x = 199,311.33
  5. Step 5: Solve for x
    x = 199,311.33/403.58
  6. Step 6: Final answer
    x = 493.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.