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Finding the Fourth Proportional to 412.10, 616.88 and 385.46

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Solution

The fourth proportional to 412.10, 616.88 and 385.46 is: 577.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.10 : 616.88 = 385.46 : x
  2. Step 2: Convert to fraction form
    412.10/616.88 = 385.46/x
  3. Step 3: Cross multiply
    412.10x = 616.88 × 385.46
  4. Step 4: Simplify right side
    412.10x = 237,782.56
  5. Step 5: Solve for x
    x = 237,782.56/412.10
  6. Step 6: Final answer
    x = 577.00

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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.