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Finding the Fourth Proportional to 317.93, 435.93 and 286.72

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Solution

The fourth proportional to 317.93, 435.93 and 286.72 is: 393.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.93 : 435.93 = 286.72 : x
  2. Step 2: Convert to fraction form
    317.93/435.93 = 286.72/x
  3. Step 3: Cross multiply
    317.93x = 435.93 × 286.72
  4. Step 4: Simplify right side
    317.93x = 124,987.68
  5. Step 5: Solve for x
    x = 124,987.68/317.93
  6. Step 6: Final answer
    x = 393.14

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.