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Finding the Fourth Proportional to 384.92, 575.41 and 287.36

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Solution

The fourth proportional to 384.92, 575.41 and 287.36 is: 429.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.92 : 575.41 = 287.36 : x
  2. Step 2: Convert to fraction form
    384.92/575.41 = 287.36/x
  3. Step 3: Cross multiply
    384.92x = 575.41 × 287.36
  4. Step 4: Simplify right side
    384.92x = 165,349.82
  5. Step 5: Solve for x
    x = 165,349.82/384.92
  6. Step 6: Final answer
    x = 429.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.