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Finding the Fourth Proportional to 613.26, 920.14 and 288.65

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Solution

The fourth proportional to 613.26, 920.14 and 288.65 is: 433.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.26 : 920.14 = 288.65 : x
  2. Step 2: Convert to fraction form
    613.26/920.14 = 288.65/x
  3. Step 3: Cross multiply
    613.26x = 920.14 × 288.65
  4. Step 4: Simplify right side
    613.26x = 265,599.99
  5. Step 5: Solve for x
    x = 265,599.99/613.26
  6. Step 6: Final answer
    x = 433.10

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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.