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Finding the Fourth Proportional to 631.36, 947.40 and 582.40

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Solution

The fourth proportional to 631.36, 947.40 and 582.40 is: 873.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.36 : 947.40 = 582.40 : x
  2. Step 2: Convert to fraction form
    631.36/947.40 = 582.40/x
  3. Step 3: Cross multiply
    631.36x = 947.40 × 582.40
  4. Step 4: Simplify right side
    631.36x = 551,765.76
  5. Step 5: Solve for x
    x = 551,765.76/631.36
  6. Step 6: Final answer
    x = 873.93

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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.