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Finding the Fourth Proportional to 670.65, 925.89 and 493.47

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Solution

The fourth proportional to 670.65, 925.89 and 493.47 is: 681.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.65 : 925.89 = 493.47 : x
  2. Step 2: Convert to fraction form
    670.65/925.89 = 493.47/x
  3. Step 3: Cross multiply
    670.65x = 925.89 × 493.47
  4. Step 4: Simplify right side
    670.65x = 456,898.94
  5. Step 5: Solve for x
    x = 456,898.94/670.65
  6. Step 6: Final answer
    x = 681.28

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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.