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Finding the Fourth Proportional to 474.93, 712.26 and 313.47

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Solution

The fourth proportional to 474.93, 712.26 and 313.47 is: 470.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.93 : 712.26 = 313.47 : x
  2. Step 2: Convert to fraction form
    474.93/712.26 = 313.47/x
  3. Step 3: Cross multiply
    474.93x = 712.26 × 313.47
  4. Step 4: Simplify right side
    474.93x = 223,272.14
  5. Step 5: Solve for x
    x = 223,272.14/474.93
  6. Step 6: Final answer
    x = 470.12

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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.