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Finding the Fourth Proportional to 356.87, 537.44 and 314.00

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Solution

The fourth proportional to 356.87, 537.44 and 314.00 is: 472.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.87 : 537.44 = 314.00 : x
  2. Step 2: Convert to fraction form
    356.87/537.44 = 314.00/x
  3. Step 3: Cross multiply
    356.87x = 537.44 × 314.00
  4. Step 4: Simplify right side
    356.87x = 168,754.93
  5. Step 5: Solve for x
    x = 168,754.93/356.87
  6. Step 6: Final answer
    x = 472.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.