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Finding the Fourth Proportional to 631.83, 948 and 284.92

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Solution

The fourth proportional to 631.83, 948 and 284.92 is: 427.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.83 : 948 = 284.92 : x
  2. Step 2: Convert to fraction form
    631.83/948 = 284.92/x
  3. Step 3: Cross multiply
    631.83x = 948 × 284.92
  4. Step 4: Simplify right side
    631.83x = 270,104.16
  5. Step 5: Solve for x
    x = 270,104.16/631.83
  6. Step 6: Final answer
    x = 427.49

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Why These Related Problems?

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