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Finding the Fourth Proportional to 493.51, 740.16 and 219.46

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Solution

The fourth proportional to 493.51, 740.16 and 219.46 is: 329.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.51 : 740.16 = 219.46 : x
  2. Step 2: Convert to fraction form
    493.51/740.16 = 219.46/x
  3. Step 3: Cross multiply
    493.51x = 740.16 × 219.46
  4. Step 4: Simplify right side
    493.51x = 162,430.72
  5. Step 5: Solve for x
    x = 162,430.72/493.51
  6. Step 6: Final answer
    x = 329.13

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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.