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Finding the Fourth Proportional to 513.98, 709.51 and 317.76

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Solution

The fourth proportional to 513.98, 709.51 and 317.76 is: 438.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.98 : 709.51 = 317.76 : x
  2. Step 2: Convert to fraction form
    513.98/709.51 = 317.76/x
  3. Step 3: Cross multiply
    513.98x = 709.51 × 317.76
  4. Step 4: Simplify right side
    513.98x = 225,451.04
  5. Step 5: Solve for x
    x = 225,451.04/513.98
  6. Step 6: Final answer
    x = 438.64

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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.