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Finding the Fourth Proportional to 669.72, 924.17 and 407.82

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Solution

The fourth proportional to 669.72, 924.17 and 407.82 is: 562.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.72 : 924.17 = 407.82 : x
  2. Step 2: Convert to fraction form
    669.72/924.17 = 407.82/x
  3. Step 3: Cross multiply
    669.72x = 924.17 × 407.82
  4. Step 4: Simplify right side
    669.72x = 376,892.97
  5. Step 5: Solve for x
    x = 376,892.97/669.72
  6. Step 6: Final answer
    x = 562.76

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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.