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Finding the Fourth Proportional to 669.96, 924.53 and 375.22

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Solution

The fourth proportional to 669.96, 924.53 and 375.22 is: 517.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.96 : 924.53 = 375.22 : x
  2. Step 2: Convert to fraction form
    669.96/924.53 = 375.22/x
  3. Step 3: Cross multiply
    669.96x = 924.53 × 375.22
  4. Step 4: Simplify right side
    669.96x = 346,902.15
  5. Step 5: Solve for x
    x = 346,902.15/669.96
  6. Step 6: Final answer
    x = 517.80

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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.