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Finding the Fourth Proportional to 457.69, 632.22 and 317.56

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Solution

The fourth proportional to 457.69, 632.22 and 317.56 is: 438.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.69 : 632.22 = 317.56 : x
  2. Step 2: Convert to fraction form
    457.69/632.22 = 317.56/x
  3. Step 3: Cross multiply
    457.69x = 632.22 × 317.56
  4. Step 4: Simplify right side
    457.69x = 200,767.78
  5. Step 5: Solve for x
    x = 200,767.78/457.69
  6. Step 6: Final answer
    x = 438.65

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.