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Finding the Fourth Proportional to 664.96, 917.76 and 432.16

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Solution

The fourth proportional to 664.96, 917.76 and 432.16 is: 596.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.96 : 917.76 = 432.16 : x
  2. Step 2: Convert to fraction form
    664.96/917.76 = 432.16/x
  3. Step 3: Cross multiply
    664.96x = 917.76 × 432.16
  4. Step 4: Simplify right side
    664.96x = 396,619.16
  5. Step 5: Solve for x
    x = 396,619.16/664.96
  6. Step 6: Final answer
    x = 596.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.