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Finding the Fourth Proportional to 631.76, 947.48 and 284.90

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Solution

The fourth proportional to 631.76, 947.48 and 284.90 is: 427.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.76 : 947.48 = 284.90 : x
  2. Step 2: Convert to fraction form
    631.76/947.48 = 284.90/x
  3. Step 3: Cross multiply
    631.76x = 947.48 × 284.90
  4. Step 4: Simplify right side
    631.76x = 269,930.89
  5. Step 5: Solve for x
    x = 269,930.89/631.76
  6. Step 6: Final answer
    x = 427.27

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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.