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Finding the Fourth Proportional to 532.49, 797.74 and 301.55

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Solution

The fourth proportional to 532.49, 797.74 and 301.55 is: 451.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.49 : 797.74 = 301.55 : x
  2. Step 2: Convert to fraction form
    532.49/797.74 = 301.55/x
  3. Step 3: Cross multiply
    532.49x = 797.74 × 301.55
  4. Step 4: Simplify right side
    532.49x = 240,557.26
  5. Step 5: Solve for x
    x = 240,557.26/532.49
  6. Step 6: Final answer
    x = 451.76

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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.