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Finding the Fourth Proportional to 493.48, 740.20 and 233.40

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Solution

The fourth proportional to 493.48, 740.20 and 233.40 is: 350.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.48 : 740.20 = 233.40 : x
  2. Step 2: Convert to fraction form
    493.48/740.20 = 233.40/x
  3. Step 3: Cross multiply
    493.48x = 740.20 × 233.40
  4. Step 4: Simplify right side
    493.48x = 172,762.68
  5. Step 5: Solve for x
    x = 172,762.68/493.48
  6. Step 6: Final answer
    x = 350.09

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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.