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Finding the Fourth Proportional to 657.24, 985.80 and 412.92

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Solution

The fourth proportional to 657.24, 985.80 and 412.92 is: 619.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.24 : 985.80 = 412.92 : x
  2. Step 2: Convert to fraction form
    657.24/985.80 = 412.92/x
  3. Step 3: Cross multiply
    657.24x = 985.80 × 412.92
  4. Step 4: Simplify right side
    657.24x = 407,056.54
  5. Step 5: Solve for x
    x = 407,056.54/657.24
  6. Step 6: Final answer
    x = 619.34

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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.