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Finding the Fourth Proportional to 377.32, 521.23 and 359.10

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Solution

The fourth proportional to 377.32, 521.23 and 359.10 is: 496.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.32 : 521.23 = 359.10 : x
  2. Step 2: Convert to fraction form
    377.32/521.23 = 359.10/x
  3. Step 3: Cross multiply
    377.32x = 521.23 × 359.10
  4. Step 4: Simplify right side
    377.32x = 187,173.69
  5. Step 5: Solve for x
    x = 187,173.69/377.32
  6. Step 6: Final answer
    x = 496.06

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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.