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Finding the Fourth Proportional to 631.45, 947.58 and 284.77

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Solution

The fourth proportional to 631.45, 947.58 and 284.77 is: 427.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.45 : 947.58 = 284.77 : x
  2. Step 2: Convert to fraction form
    631.45/947.58 = 284.77/x
  3. Step 3: Cross multiply
    631.45x = 947.58 × 284.77
  4. Step 4: Simplify right side
    631.45x = 269,842.36
  5. Step 5: Solve for x
    x = 269,842.36/631.45
  6. Step 6: Final answer
    x = 427.34

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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.