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Finding the Fourth Proportional to 615.35, 922.95 and 383.78

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Solution

The fourth proportional to 615.35, 922.95 and 383.78 is: 575.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.35 : 922.95 = 383.78 : x
  2. Step 2: Convert to fraction form
    615.35/922.95 = 383.78/x
  3. Step 3: Cross multiply
    615.35x = 922.95 × 383.78
  4. Step 4: Simplify right side
    615.35x = 354,205.14
  5. Step 5: Solve for x
    x = 354,205.14/615.35
  6. Step 6: Final answer
    x = 575.62

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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.