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Finding the Fourth Proportional to 669.72, 924.29 and 375.09

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Solution

The fourth proportional to 669.72, 924.29 and 375.09 is: 517.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.72 : 924.29 = 375.09 : x
  2. Step 2: Convert to fraction form
    669.72/924.29 = 375.09/x
  3. Step 3: Cross multiply
    669.72x = 924.29 × 375.09
  4. Step 4: Simplify right side
    669.72x = 346,690.06
  5. Step 5: Solve for x
    x = 346,690.06/669.72
  6. Step 6: Final answer
    x = 517.66

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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.