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Finding the Fourth Proportional to 615.84, 925.04 and 385

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Solution

The fourth proportional to 615.84, 925.04 and 385 is: 578.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.84 : 925.04 = 385 : x
  2. Step 2: Convert to fraction form
    615.84/925.04 = 385/x
  3. Step 3: Cross multiply
    615.84x = 925.04 × 385
  4. Step 4: Simplify right side
    615.84x = 356,140.40
  5. Step 5: Solve for x
    x = 356,140.40/615.84
  6. Step 6: Final answer
    x = 578.30

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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.