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Finding the Fourth Proportional to 653.22, 979.82 and 242.35

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Solution

The fourth proportional to 653.22, 979.82 and 242.35 is: 363.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.22 : 979.82 = 242.35 : x
  2. Step 2: Convert to fraction form
    653.22/979.82 = 242.35/x
  3. Step 3: Cross multiply
    653.22x = 979.82 × 242.35
  4. Step 4: Simplify right side
    653.22x = 237,458.17
  5. Step 5: Solve for x
    x = 237,458.17/653.22
  6. Step 6: Final answer
    x = 363.52

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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.