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Finding the Fourth Proportional to 424.47, 635.42 and 259.50

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Solution

The fourth proportional to 424.47, 635.42 and 259.50 is: 388.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.47 : 635.42 = 259.50 : x
  2. Step 2: Convert to fraction form
    424.47/635.42 = 259.50/x
  3. Step 3: Cross multiply
    424.47x = 635.42 × 259.50
  4. Step 4: Simplify right side
    424.47x = 164,890.19
  5. Step 5: Solve for x
    x = 164,890.19/424.47
  6. Step 6: Final answer
    x = 388.46

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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.