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Finding the Fourth Proportional to 613.06, 919.23 and 242.89

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Solution

The fourth proportional to 613.06, 919.23 and 242.89 is: 364.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.06 : 919.23 = 242.89 : x
  2. Step 2: Convert to fraction form
    613.06/919.23 = 242.89/x
  3. Step 3: Cross multiply
    613.06x = 919.23 × 242.89
  4. Step 4: Simplify right side
    613.06x = 223,271.77
  5. Step 5: Solve for x
    x = 223,271.77/613.06
  6. Step 6: Final answer
    x = 364.19

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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.