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Finding the Fourth Proportional to 464.70, 698.25 and 350.23

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Solution

The fourth proportional to 464.70, 698.25 and 350.23 is: 526.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.70 : 698.25 = 350.23 : x
  2. Step 2: Convert to fraction form
    464.70/698.25 = 350.23/x
  3. Step 3: Cross multiply
    464.70x = 698.25 × 350.23
  4. Step 4: Simplify right side
    464.70x = 244,545.53
  5. Step 5: Solve for x
    x = 244,545.53/464.70
  6. Step 6: Final answer
    x = 526.24

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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.