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Finding the Fourth Proportional to 631.53, 947.16 and 284.85

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Solution

The fourth proportional to 631.53, 947.16 and 284.85 is: 427.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.53 : 947.16 = 284.85 : x
  2. Step 2: Convert to fraction form
    631.53/947.16 = 284.85/x
  3. Step 3: Cross multiply
    631.53x = 947.16 × 284.85
  4. Step 4: Simplify right side
    631.53x = 269,798.53
  5. Step 5: Solve for x
    x = 269,798.53/631.53
  6. Step 6: Final answer
    x = 427.21

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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.