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Finding the Fourth Proportional to 669.45, 924.03 and 460.32

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Solution

The fourth proportional to 669.45, 924.03 and 460.32 is: 635.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.45 : 924.03 = 460.32 : x
  2. Step 2: Convert to fraction form
    669.45/924.03 = 460.32/x
  3. Step 3: Cross multiply
    669.45x = 924.03 × 460.32
  4. Step 4: Simplify right side
    669.45x = 425,349.49
  5. Step 5: Solve for x
    x = 425,349.49/669.45
  6. Step 6: Final answer
    x = 635.37

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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.