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Finding the Fourth Proportional to 385.74, 532.53 and 261.36

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Solution

The fourth proportional to 385.74, 532.53 and 261.36 is: 360.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.74 : 532.53 = 261.36 : x
  2. Step 2: Convert to fraction form
    385.74/532.53 = 261.36/x
  3. Step 3: Cross multiply
    385.74x = 532.53 × 261.36
  4. Step 4: Simplify right side
    385.74x = 139,182.04
  5. Step 5: Solve for x
    x = 139,182.04/385.74
  6. Step 6: Final answer
    x = 360.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.