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Finding the Fourth Proportional to 595.32, 892.44 and 412.80

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Solution

The fourth proportional to 595.32, 892.44 and 412.80 is: 618.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.32 : 892.44 = 412.80 : x
  2. Step 2: Convert to fraction form
    595.32/892.44 = 412.80/x
  3. Step 3: Cross multiply
    595.32x = 892.44 × 412.80
  4. Step 4: Simplify right side
    595.32x = 368,399.23
  5. Step 5: Solve for x
    x = 368,399.23/595.32
  6. Step 6: Final answer
    x = 618.83

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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.