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Finding the Fourth Proportional to 522.47, 722.70 and 491.87

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Solution

The fourth proportional to 522.47, 722.70 and 491.87 is: 680.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.47 : 722.70 = 491.87 : x
  2. Step 2: Convert to fraction form
    522.47/722.70 = 491.87/x
  3. Step 3: Cross multiply
    522.47x = 722.70 × 491.87
  4. Step 4: Simplify right side
    522.47x = 355,474.45
  5. Step 5: Solve for x
    x = 355,474.45/522.47
  6. Step 6: Final answer
    x = 680.37

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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.