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Finding the Fourth Proportional to 384.68, 530.94 and 216.66

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Solution

The fourth proportional to 384.68, 530.94 and 216.66 is: 299.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.68 : 530.94 = 216.66 : x
  2. Step 2: Convert to fraction form
    384.68/530.94 = 216.66/x
  3. Step 3: Cross multiply
    384.68x = 530.94 × 216.66
  4. Step 4: Simplify right side
    384.68x = 115,036.26
  5. Step 5: Solve for x
    x = 115,036.26/384.68
  6. Step 6: Final answer
    x = 299.04

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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.