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Finding the Fourth Proportional to 631.16, 945.83 and 457.41

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Solution

The fourth proportional to 631.16, 945.83 and 457.41 is: 685.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.16 : 945.83 = 457.41 : x
  2. Step 2: Convert to fraction form
    631.16/945.83 = 457.41/x
  3. Step 3: Cross multiply
    631.16x = 945.83 × 457.41
  4. Step 4: Simplify right side
    631.16x = 432,629.81
  5. Step 5: Solve for x
    x = 432,629.81/631.16
  6. Step 6: Final answer
    x = 685.46

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Double scale
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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.