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Finding the Fourth Proportional to 415.14, 619.73 and 385.14

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Solution

The fourth proportional to 415.14, 619.73 and 385.14 is: 574.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.14 : 619.73 = 385.14 : x
  2. Step 2: Convert to fraction form
    415.14/619.73 = 385.14/x
  3. Step 3: Cross multiply
    415.14x = 619.73 × 385.14
  4. Step 4: Simplify right side
    415.14x = 238,682.81
  5. Step 5: Solve for x
    x = 238,682.81/415.14
  6. Step 6: Final answer
    x = 574.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.