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Finding the Fourth Proportional to 412.02, 618.12 and 319.77

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Solution

The fourth proportional to 412.02, 618.12 and 319.77 is: 479.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.02 : 618.12 = 319.77 : x
  2. Step 2: Convert to fraction form
    412.02/618.12 = 319.77/x
  3. Step 3: Cross multiply
    412.02x = 618.12 × 319.77
  4. Step 4: Simplify right side
    412.02x = 197,656.23
  5. Step 5: Solve for x
    x = 197,656.23/412.02
  6. Step 6: Final answer
    x = 479.72

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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.