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Finding the Fourth Proportional to 332.45, 498.69 and 242.22

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Solution

The fourth proportional to 332.45, 498.69 and 242.22 is: 363.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.45 : 498.69 = 242.22 : x
  2. Step 2: Convert to fraction form
    332.45/498.69 = 242.22/x
  3. Step 3: Cross multiply
    332.45x = 498.69 × 242.22
  4. Step 4: Simplify right side
    332.45x = 120,792.69
  5. Step 5: Solve for x
    x = 120,792.69/332.45
  6. Step 6: Final answer
    x = 363.35

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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.