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Finding the Fourth Proportional to 412.30, 615.43 and 384.94

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Solution

The fourth proportional to 412.30, 615.43 and 384.94 is: 574.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.30 : 615.43 = 384.94 : x
  2. Step 2: Convert to fraction form
    412.30/615.43 = 384.94/x
  3. Step 3: Cross multiply
    412.30x = 615.43 × 384.94
  4. Step 4: Simplify right side
    412.30x = 236,903.62
  5. Step 5: Solve for x
    x = 236,903.62/412.30
  6. Step 6: Final answer
    x = 574.59

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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.