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Finding the Fourth Proportional to 665.44, 918.12 and 432.16

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Solution

The fourth proportional to 665.44, 918.12 and 432.16 is: 596.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.44 : 918.12 = 432.16 : x
  2. Step 2: Convert to fraction form
    665.44/918.12 = 432.16/x
  3. Step 3: Cross multiply
    665.44x = 918.12 × 432.16
  4. Step 4: Simplify right side
    665.44x = 396,774.74
  5. Step 5: Solve for x
    x = 396,774.74/665.44
  6. Step 6: Final answer
    x = 596.26

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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.