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Finding the Fourth Proportional to 562.57, 776.41 and 326.47

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Solution

The fourth proportional to 562.57, 776.41 and 326.47 is: 450.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.57 : 776.41 = 326.47 : x
  2. Step 2: Convert to fraction form
    562.57/776.41 = 326.47/x
  3. Step 3: Cross multiply
    562.57x = 776.41 × 326.47
  4. Step 4: Simplify right side
    562.57x = 253,477.91
  5. Step 5: Solve for x
    x = 253,477.91/562.57
  6. Step 6: Final answer
    x = 450.57

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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.