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Finding the Fourth Proportional to 356.32, 533.87 and 287.87

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Solution

The fourth proportional to 356.32, 533.87 and 287.87 is: 431.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.32 : 533.87 = 287.87 : x
  2. Step 2: Convert to fraction form
    356.32/533.87 = 287.87/x
  3. Step 3: Cross multiply
    356.32x = 533.87 × 287.87
  4. Step 4: Simplify right side
    356.32x = 153,683.72
  5. Step 5: Solve for x
    x = 153,683.72/356.32
  6. Step 6: Final answer
    x = 431.31

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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.