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Finding the Fourth Proportional to 516.01, 772.48 and 463.22

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Solution

The fourth proportional to 516.01, 772.48 and 463.22 is: 693.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.01 : 772.48 = 463.22 : x
  2. Step 2: Convert to fraction form
    516.01/772.48 = 463.22/x
  3. Step 3: Cross multiply
    516.01x = 772.48 × 463.22
  4. Step 4: Simplify right side
    516.01x = 357,828.19
  5. Step 5: Solve for x
    x = 357,828.19/516.01
  6. Step 6: Final answer
    x = 693.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.