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Finding the Fourth Proportional to 375.99, 564.59 and 283.44

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Solution

The fourth proportional to 375.99, 564.59 and 283.44 is: 425.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.99 : 564.59 = 283.44 : x
  2. Step 2: Convert to fraction form
    375.99/564.59 = 283.44/x
  3. Step 3: Cross multiply
    375.99x = 564.59 × 283.44
  4. Step 4: Simplify right side
    375.99x = 160,027.39
  5. Step 5: Solve for x
    x = 160,027.39/375.99
  6. Step 6: Final answer
    x = 425.62

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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.