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Finding the Fourth Proportional to 631.56, 947.28 and 175.56

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Solution

The fourth proportional to 631.56, 947.28 and 175.56 is: 263.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.56 : 947.28 = 175.56 : x
  2. Step 2: Convert to fraction form
    631.56/947.28 = 175.56/x
  3. Step 3: Cross multiply
    631.56x = 947.28 × 175.56
  4. Step 4: Simplify right side
    631.56x = 166,304.48
  5. Step 5: Solve for x
    x = 166,304.48/631.56
  6. Step 6: Final answer
    x = 263.32

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1.5x scale

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.