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Finding the Fourth Proportional to 613.53, 920.52 and 284.63

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Solution

The fourth proportional to 613.53, 920.52 and 284.63 is: 427.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.53 : 920.52 = 284.63 : x
  2. Step 2: Convert to fraction form
    613.53/920.52 = 284.63/x
  3. Step 3: Cross multiply
    613.53x = 920.52 × 284.63
  4. Step 4: Simplify right side
    613.53x = 262,003.01
  5. Step 5: Solve for x
    x = 262,003.01/613.53
  6. Step 6: Final answer
    x = 427.04

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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.