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Finding the Fourth Proportional to 615.45, 923.34 and 307.22

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Solution

The fourth proportional to 615.45, 923.34 and 307.22 is: 460.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.45 : 923.34 = 307.22 : x
  2. Step 2: Convert to fraction form
    615.45/923.34 = 307.22/x
  3. Step 3: Cross multiply
    615.45x = 923.34 × 307.22
  4. Step 4: Simplify right side
    615.45x = 283,663.90
  5. Step 5: Solve for x
    x = 283,663.90/615.45
  6. Step 6: Final answer
    x = 460.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.