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Finding the Fourth Proportional to 317.93, 437.40 and 293.63

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Solution

The fourth proportional to 317.93, 437.40 and 293.63 is: 403.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.93 : 437.40 = 293.63 : x
  2. Step 2: Convert to fraction form
    317.93/437.40 = 293.63/x
  3. Step 3: Cross multiply
    317.93x = 437.40 × 293.63
  4. Step 4: Simplify right side
    317.93x = 128,431.58
  5. Step 5: Solve for x
    x = 128,431.58/317.93
  6. Step 6: Final answer
    x = 403.97

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