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Finding the Fourth Proportional to 669.53, 923.53 and 433.39

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Solution

The fourth proportional to 669.53, 923.53 and 433.39 is: 597.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.53 : 923.53 = 433.39 : x
  2. Step 2: Convert to fraction form
    669.53/923.53 = 433.39/x
  3. Step 3: Cross multiply
    669.53x = 923.53 × 433.39
  4. Step 4: Simplify right side
    669.53x = 400,248.67
  5. Step 5: Solve for x
    x = 400,248.67/669.53
  6. Step 6: Final answer
    x = 597.81

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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.