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Finding the Fourth Proportional to 513.95, 709.28 and 317.36

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Solution

The fourth proportional to 513.95, 709.28 and 317.36 is: 437.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.95 : 709.28 = 317.36 : x
  2. Step 2: Convert to fraction form
    513.95/709.28 = 317.36/x
  3. Step 3: Cross multiply
    513.95x = 709.28 × 317.36
  4. Step 4: Simplify right side
    513.95x = 225,091.97
  5. Step 5: Solve for x
    x = 225,091.97/513.95
  6. Step 6: Final answer
    x = 437.97

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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.