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Finding the Fourth Proportional to 504.74, 694.48 and 493.09

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Solution

The fourth proportional to 504.74, 694.48 and 493.09 is: 678.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.74 : 694.48 = 493.09 : x
  2. Step 2: Convert to fraction form
    504.74/694.48 = 493.09/x
  3. Step 3: Cross multiply
    504.74x = 694.48 × 493.09
  4. Step 4: Simplify right side
    504.74x = 342,441.14
  5. Step 5: Solve for x
    x = 342,441.14/504.74
  6. Step 6: Final answer
    x = 678.45

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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.