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Finding the Fourth Proportional to 491.47, 676.96 and 412.70

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Solution

The fourth proportional to 491.47, 676.96 and 412.70 is: 568.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.47 : 676.96 = 412.70 : x
  2. Step 2: Convert to fraction form
    491.47/676.96 = 412.70/x
  3. Step 3: Cross multiply
    491.47x = 676.96 × 412.70
  4. Step 4: Simplify right side
    491.47x = 279,376.98
  5. Step 5: Solve for x
    x = 279,376.98/491.47
  6. Step 6: Final answer
    x = 568.45

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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.