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Finding the Fourth Proportional to 653.07, 979.55 and 242.13

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Solution

The fourth proportional to 653.07, 979.55 and 242.13 is: 363.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.07 : 979.55 = 242.13 : x
  2. Step 2: Convert to fraction form
    653.07/979.55 = 242.13/x
  3. Step 3: Cross multiply
    653.07x = 979.55 × 242.13
  4. Step 4: Simplify right side
    653.07x = 237,178.44
  5. Step 5: Solve for x
    x = 237,178.44/653.07
  6. Step 6: Final answer
    x = 363.17

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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.