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Finding the Fourth Proportional to 513.08, 706.61 and 480.14

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Solution

The fourth proportional to 513.08, 706.61 and 480.14 is: 661.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.08 : 706.61 = 480.14 : x
  2. Step 2: Convert to fraction form
    513.08/706.61 = 480.14/x
  3. Step 3: Cross multiply
    513.08x = 706.61 × 480.14
  4. Step 4: Simplify right side
    513.08x = 339,265.79
  5. Step 5: Solve for x
    x = 339,265.79/513.08
  6. Step 6: Final answer
    x = 661.24

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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.