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Finding the Fourth Proportional to 613.93, 920.74 and 288.97

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Solution

The fourth proportional to 613.93, 920.74 and 288.97 is: 433.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.93 : 920.74 = 288.97 : x
  2. Step 2: Convert to fraction form
    613.93/920.74 = 288.97/x
  3. Step 3: Cross multiply
    613.93x = 920.74 × 288.97
  4. Step 4: Simplify right side
    613.93x = 266,064.79
  5. Step 5: Solve for x
    x = 266,064.79/613.93
  6. Step 6: Final answer
    x = 433.38

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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.