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Finding the Fourth Proportional to 317.28, 473.07 and 290.16

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Solution

The fourth proportional to 317.28, 473.07 and 290.16 is: 432.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.28 : 473.07 = 290.16 : x
  2. Step 2: Convert to fraction form
    317.28/473.07 = 290.16/x
  3. Step 3: Cross multiply
    317.28x = 473.07 × 290.16
  4. Step 4: Simplify right side
    317.28x = 137,265.99
  5. Step 5: Solve for x
    x = 137,265.99/317.28
  6. Step 6: Final answer
    x = 432.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.