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Finding the Fourth Proportional to 411.62, 567.09 and 384.74

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Solution

The fourth proportional to 411.62, 567.09 and 384.74 is: 530.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.62 : 567.09 = 384.74 : x
  2. Step 2: Convert to fraction form
    411.62/567.09 = 384.74/x
  3. Step 3: Cross multiply
    411.62x = 567.09 × 384.74
  4. Step 4: Simplify right side
    411.62x = 218,182.21
  5. Step 5: Solve for x
    x = 218,182.21/411.62
  6. Step 6: Final answer
    x = 530.06

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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.