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Finding the Fourth Proportional to 632.23, 947.73 and 307.42

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Solution

The fourth proportional to 632.23, 947.73 and 307.42 is: 460.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.23 : 947.73 = 307.42 : x
  2. Step 2: Convert to fraction form
    632.23/947.73 = 307.42/x
  3. Step 3: Cross multiply
    632.23x = 947.73 × 307.42
  4. Step 4: Simplify right side
    632.23x = 291,351.16
  5. Step 5: Solve for x
    x = 291,351.16/632.23
  6. Step 6: Final answer
    x = 460.83

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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.