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Finding the Fourth Proportional to 615.90, 923.31 and 286.59

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Solution

The fourth proportional to 615.90, 923.31 and 286.59 is: 429.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.90 : 923.31 = 286.59 : x
  2. Step 2: Convert to fraction form
    615.90/923.31 = 286.59/x
  3. Step 3: Cross multiply
    615.90x = 923.31 × 286.59
  4. Step 4: Simplify right side
    615.90x = 264,611.41
  5. Step 5: Solve for x
    x = 264,611.41/615.90
  6. Step 6: Final answer
    x = 429.63

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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.