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Finding the Fourth Proportional to 575.37, 863.15 and 412.74

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Solution

The fourth proportional to 575.37, 863.15 and 412.74 is: 619.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.37 : 863.15 = 412.74 : x
  2. Step 2: Convert to fraction form
    575.37/863.15 = 412.74/x
  3. Step 3: Cross multiply
    575.37x = 863.15 × 412.74
  4. Step 4: Simplify right side
    575.37x = 356,254.47
  5. Step 5: Solve for x
    x = 356,254.47/575.37
  6. Step 6: Final answer
    x = 619.17

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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.