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Finding the Fourth Proportional to 562.21, 841.80 and 366.63

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Solution

The fourth proportional to 562.21, 841.80 and 366.63 is: 548.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.21 : 841.80 = 366.63 : x
  2. Step 2: Convert to fraction form
    562.21/841.80 = 366.63/x
  3. Step 3: Cross multiply
    562.21x = 841.80 × 366.63
  4. Step 4: Simplify right side
    562.21x = 308,629.13
  5. Step 5: Solve for x
    x = 308,629.13/562.21
  6. Step 6: Final answer
    x = 548.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.