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Finding the Fourth Proportional to 507.65, 691.71 and 496.41

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Solution

The fourth proportional to 507.65, 691.71 and 496.41 is: 676.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.65 : 691.71 = 496.41 : x
  2. Step 2: Convert to fraction form
    507.65/691.71 = 496.41/x
  3. Step 3: Cross multiply
    507.65x = 691.71 × 496.41
  4. Step 4: Simplify right side
    507.65x = 343,371.76
  5. Step 5: Solve for x
    x = 343,371.76/507.65
  6. Step 6: Final answer
    x = 676.39

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.