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Finding the Fourth Proportional to 615.68, 923.41 and 307.20

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Solution

The fourth proportional to 615.68, 923.41 and 307.20 is: 460.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.68 : 923.41 = 307.20 : x
  2. Step 2: Convert to fraction form
    615.68/923.41 = 307.20/x
  3. Step 3: Cross multiply
    615.68x = 923.41 × 307.20
  4. Step 4: Simplify right side
    615.68x = 283,670.78
  5. Step 5: Solve for x
    x = 283,670.78/615.68
  6. Step 6: Final answer
    x = 460.75

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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.