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Finding the Fourth Proportional to 406.63, 560.48 and 317.95

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Solution

The fourth proportional to 406.63, 560.48 and 317.95 is: 438.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.63 : 560.48 = 317.95 : x
  2. Step 2: Convert to fraction form
    406.63/560.48 = 317.95/x
  3. Step 3: Cross multiply
    406.63x = 560.48 × 317.95
  4. Step 4: Simplify right side
    406.63x = 178,204.62
  5. Step 5: Solve for x
    x = 178,204.62/406.63
  6. Step 6: Final answer
    x = 438.25

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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.