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Finding the Fourth Proportional to 518.51, 775.47 and 461.14

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Solution

The fourth proportional to 518.51, 775.47 and 461.14 is: 689.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.51 : 775.47 = 461.14 : x
  2. Step 2: Convert to fraction form
    518.51/775.47 = 461.14/x
  3. Step 3: Cross multiply
    518.51x = 775.47 × 461.14
  4. Step 4: Simplify right side
    518.51x = 357,600.03
  5. Step 5: Solve for x
    x = 357,600.03/518.51
  6. Step 6: Final answer
    x = 689.67

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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.