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Finding the Fourth Proportional to 613.70, 920.53 and 288.83

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Solution

The fourth proportional to 613.70, 920.53 and 288.83 is: 433.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.70 : 920.53 = 288.83 : x
  2. Step 2: Convert to fraction form
    613.70/920.53 = 288.83/x
  3. Step 3: Cross multiply
    613.70x = 920.53 × 288.83
  4. Step 4: Simplify right side
    613.70x = 265,876.68
  5. Step 5: Solve for x
    x = 265,876.68/613.70
  6. Step 6: Final answer
    x = 433.24

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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.