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Finding the Fourth Proportional to 615.84, 924.23 and 226.21

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Solution

The fourth proportional to 615.84, 924.23 and 226.21 is: 339.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.84 : 924.23 = 226.21 : x
  2. Step 2: Convert to fraction form
    615.84/924.23 = 226.21/x
  3. Step 3: Cross multiply
    615.84x = 924.23 × 226.21
  4. Step 4: Simplify right side
    615.84x = 209,070.07
  5. Step 5: Solve for x
    x = 209,070.07/615.84
  6. Step 6: Final answer
    x = 339.49

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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.