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Finding the Fourth Proportional to 631.85, 947.37 and 285.12

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Solution

The fourth proportional to 631.85, 947.37 and 285.12 is: 427.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.85 : 947.37 = 285.12 : x
  2. Step 2: Convert to fraction form
    631.85/947.37 = 285.12/x
  3. Step 3: Cross multiply
    631.85x = 947.37 × 285.12
  4. Step 4: Simplify right side
    631.85x = 270,114.13
  5. Step 5: Solve for x
    x = 270,114.13/631.85
  6. Step 6: Final answer
    x = 427.50

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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.