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Finding the Fourth Proportional to 653.05, 979.54 and 242.08

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Solution

The fourth proportional to 653.05, 979.54 and 242.08 is: 363.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.05 : 979.54 = 242.08 : x
  2. Step 2: Convert to fraction form
    653.05/979.54 = 242.08/x
  3. Step 3: Cross multiply
    653.05x = 979.54 × 242.08
  4. Step 4: Simplify right side
    653.05x = 237,127.04
  5. Step 5: Solve for x
    x = 237,127.04/653.05
  6. Step 6: Final answer
    x = 363.11

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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.