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Finding the Fourth Proportional to 613.59, 920.51 and 202.71

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Solution

The fourth proportional to 613.59, 920.51 and 202.71 is: 304.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.59 : 920.51 = 202.71 : x
  2. Step 2: Convert to fraction form
    613.59/920.51 = 202.71/x
  3. Step 3: Cross multiply
    613.59x = 920.51 × 202.71
  4. Step 4: Simplify right side
    613.59x = 186,596.58
  5. Step 5: Solve for x
    x = 186,596.58/613.59
  6. Step 6: Final answer
    x = 304.11

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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.