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Finding the Fourth Proportional to 645.37, 890.33 and 432.79

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Solution

The fourth proportional to 645.37, 890.33 and 432.79 is: 597.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.37 : 890.33 = 432.79 : x
  2. Step 2: Convert to fraction form
    645.37/890.33 = 432.79/x
  3. Step 3: Cross multiply
    645.37x = 890.33 × 432.79
  4. Step 4: Simplify right side
    645.37x = 385,321.53
  5. Step 5: Solve for x
    x = 385,321.53/645.37
  6. Step 6: Final answer
    x = 597.06

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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.