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Finding the Fourth Proportional to 312.19, 467.51 and 284.45

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Solution

The fourth proportional to 312.19, 467.51 and 284.45 is: 425.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.19 : 467.51 = 284.45 : x
  2. Step 2: Convert to fraction form
    312.19/467.51 = 284.45/x
  3. Step 3: Cross multiply
    312.19x = 467.51 × 284.45
  4. Step 4: Simplify right side
    312.19x = 132,979.46
  5. Step 5: Solve for x
    x = 132,979.46/312.19
  6. Step 6: Final answer
    x = 425.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.