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Finding the Fourth Proportional to 379.61, 569.99 and 225.84

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Solution

The fourth proportional to 379.61, 569.99 and 225.84 is: 339.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.61 : 569.99 = 225.84 : x
  2. Step 2: Convert to fraction form
    379.61/569.99 = 225.84/x
  3. Step 3: Cross multiply
    379.61x = 569.99 × 225.84
  4. Step 4: Simplify right side
    379.61x = 128,724.77
  5. Step 5: Solve for x
    x = 128,724.77/379.61
  6. Step 6: Final answer
    x = 339.10

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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.