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Finding the Fourth Proportional to 665.34, 918.63 and 432.78

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Solution

The fourth proportional to 665.34, 918.63 and 432.78 is: 597.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.34 : 918.63 = 432.78 : x
  2. Step 2: Convert to fraction form
    665.34/918.63 = 432.78/x
  3. Step 3: Cross multiply
    665.34x = 918.63 × 432.78
  4. Step 4: Simplify right side
    665.34x = 397,564.69
  5. Step 5: Solve for x
    x = 397,564.69/665.34
  6. Step 6: Final answer
    x = 597.54

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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.