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Finding the Fourth Proportional to 668.83, 922.58 and 432.70

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Solution

The fourth proportional to 668.83, 922.58 and 432.70 is: 596.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.83 : 922.58 = 432.70 : x
  2. Step 2: Convert to fraction form
    668.83/922.58 = 432.70/x
  3. Step 3: Cross multiply
    668.83x = 922.58 × 432.70
  4. Step 4: Simplify right side
    668.83x = 399,200.37
  5. Step 5: Solve for x
    x = 399,200.37/668.83
  6. Step 6: Final answer
    x = 596.86

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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.