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Finding the Fourth Proportional to 374.62, 561.09 and 258.82

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Solution

The fourth proportional to 374.62, 561.09 and 258.82 is: 387.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.62 : 561.09 = 258.82 : x
  2. Step 2: Convert to fraction form
    374.62/561.09 = 258.82/x
  3. Step 3: Cross multiply
    374.62x = 561.09 × 258.82
  4. Step 4: Simplify right side
    374.62x = 145,221.31
  5. Step 5: Solve for x
    x = 145,221.31/374.62
  6. Step 6: Final answer
    x = 387.65

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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.