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Finding the Fourth Proportional to 609.83, 914.10 and 284.93

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Solution

The fourth proportional to 609.83, 914.10 and 284.93 is: 427.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.83 : 914.10 = 284.93 : x
  2. Step 2: Convert to fraction form
    609.83/914.10 = 284.93/x
  3. Step 3: Cross multiply
    609.83x = 914.10 × 284.93
  4. Step 4: Simplify right side
    609.83x = 260,454.51
  5. Step 5: Solve for x
    x = 260,454.51/609.83
  6. Step 6: Final answer
    x = 427.09

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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.