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Finding the Fourth Proportional to 670.24, 923.92 and 493

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Solution

The fourth proportional to 670.24, 923.92 and 493 is: 679.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.24 : 923.92 = 493 : x
  2. Step 2: Convert to fraction form
    670.24/923.92 = 493/x
  3. Step 3: Cross multiply
    670.24x = 923.92 × 493
  4. Step 4: Simplify right side
    670.24x = 455,492.56
  5. Step 5: Solve for x
    x = 455,492.56/670.24
  6. Step 6: Final answer
    x = 679.60

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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.