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Finding the Fourth Proportional to 631.63, 947.17 and 339.08

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Solution

The fourth proportional to 631.63, 947.17 and 339.08 is: 508.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.63 : 947.17 = 339.08 : x
  2. Step 2: Convert to fraction form
    631.63/947.17 = 339.08/x
  3. Step 3: Cross multiply
    631.63x = 947.17 × 339.08
  4. Step 4: Simplify right side
    631.63x = 321,164.71
  5. Step 5: Solve for x
    x = 321,164.71/631.63
  6. Step 6: Final answer
    x = 508.47

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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.