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Finding the Fourth Proportional to 412.08, 621.30 and 384.24

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Solution

The fourth proportional to 412.08, 621.30 and 384.24 is: 579.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.08 : 621.30 = 384.24 : x
  2. Step 2: Convert to fraction form
    412.08/621.30 = 384.24/x
  3. Step 3: Cross multiply
    412.08x = 621.30 × 384.24
  4. Step 4: Simplify right side
    412.08x = 238,728.31
  5. Step 5: Solve for x
    x = 238,728.31/412.08
  6. Step 6: Final answer
    x = 579.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.