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Finding the Fourth Proportional to 513.95, 708.35 and 317.12

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Solution

The fourth proportional to 513.95, 708.35 and 317.12 is: 437.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.95 : 708.35 = 317.12 : x
  2. Step 2: Convert to fraction form
    513.95/708.35 = 317.12/x
  3. Step 3: Cross multiply
    513.95x = 708.35 × 317.12
  4. Step 4: Simplify right side
    513.95x = 224,626.82
  5. Step 5: Solve for x
    x = 224,626.82/513.95
  6. Step 6: Final answer
    x = 437.06

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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.