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Finding the Fourth Proportional to 464.53, 696.99 and 259.07

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Solution

The fourth proportional to 464.53, 696.99 and 259.07 is: 388.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.53 : 696.99 = 259.07 : x
  2. Step 2: Convert to fraction form
    464.53/696.99 = 259.07/x
  3. Step 3: Cross multiply
    464.53x = 696.99 × 259.07
  4. Step 4: Simplify right side
    464.53x = 180,569.20
  5. Step 5: Solve for x
    x = 180,569.20/464.53
  6. Step 6: Final answer
    x = 388.71

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Why These Related Problems?

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