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Finding the Fourth Proportional to 615.95, 922.47 and 306.83

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Solution

The fourth proportional to 615.95, 922.47 and 306.83 is: 459.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.95 : 922.47 = 306.83 : x
  2. Step 2: Convert to fraction form
    615.95/922.47 = 306.83/x
  3. Step 3: Cross multiply
    615.95x = 922.47 × 306.83
  4. Step 4: Simplify right side
    615.95x = 283,041.47
  5. Step 5: Solve for x
    x = 283,041.47/615.95
  6. Step 6: Final answer
    x = 459.52

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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.