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Finding the Fourth Proportional to 384.54, 530.82 and 286.12

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Solution

The fourth proportional to 384.54, 530.82 and 286.12 is: 394.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.54 : 530.82 = 286.12 : x
  2. Step 2: Convert to fraction form
    384.54/530.82 = 286.12/x
  3. Step 3: Cross multiply
    384.54x = 530.82 × 286.12
  4. Step 4: Simplify right side
    384.54x = 151,878.22
  5. Step 5: Solve for x
    x = 151,878.22/384.54
  6. Step 6: Final answer
    x = 394.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.