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Finding the Fourth Proportional to 411.12, 566.88 and 307.44

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Solution

The fourth proportional to 411.12, 566.88 and 307.44 is: 423.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.12 : 566.88 = 307.44 : x
  2. Step 2: Convert to fraction form
    411.12/566.88 = 307.44/x
  3. Step 3: Cross multiply
    411.12x = 566.88 × 307.44
  4. Step 4: Simplify right side
    411.12x = 174,281.59
  5. Step 5: Solve for x
    x = 174,281.59/411.12
  6. Step 6: Final answer
    x = 423.92

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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.