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Finding the Fourth Proportional to 514.03, 708.96 and 317.65

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Solution

The fourth proportional to 514.03, 708.96 and 317.65 is: 438.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.03 : 708.96 = 317.65 : x
  2. Step 2: Convert to fraction form
    514.03/708.96 = 317.65/x
  3. Step 3: Cross multiply
    514.03x = 708.96 × 317.65
  4. Step 4: Simplify right side
    514.03x = 225,201.14
  5. Step 5: Solve for x
    x = 225,201.14/514.03
  6. Step 6: Final answer
    x = 438.11

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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.