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Finding the Fourth Proportional to 669.87, 924.57 and 493.08

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Solution

The fourth proportional to 669.87, 924.57 and 493.08 is: 680.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.87 : 924.57 = 493.08 : x
  2. Step 2: Convert to fraction form
    669.87/924.57 = 493.08/x
  3. Step 3: Cross multiply
    669.87x = 924.57 × 493.08
  4. Step 4: Simplify right side
    669.87x = 455,886.98
  5. Step 5: Solve for x
    x = 455,886.98/669.87
  6. Step 6: Final answer
    x = 680.56

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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.