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Finding the Fourth Proportional to 385.68, 531.98 and 287.32

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Solution

The fourth proportional to 385.68, 531.98 and 287.32 is: 396.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.68 : 531.98 = 287.32 : x
  2. Step 2: Convert to fraction form
    385.68/531.98 = 287.32/x
  3. Step 3: Cross multiply
    385.68x = 531.98 × 287.32
  4. Step 4: Simplify right side
    385.68x = 152,848.49
  5. Step 5: Solve for x
    x = 152,848.49/385.68
  6. Step 6: Final answer
    x = 396.31

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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.