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Finding the Fourth Proportional to 665.16, 918.18 and 432.68

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Solution

The fourth proportional to 665.16, 918.18 and 432.68 is: 597.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.16 : 918.18 = 432.68 : x
  2. Step 2: Convert to fraction form
    665.16/918.18 = 432.68/x
  3. Step 3: Cross multiply
    665.16x = 918.18 × 432.68
  4. Step 4: Simplify right side
    665.16x = 397,278.12
  5. Step 5: Solve for x
    x = 397,278.12/665.16
  6. Step 6: Final answer
    x = 597.27

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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.