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Finding the Fourth Proportional to 562.63, 776.20 and 366.07

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Solution

The fourth proportional to 562.63, 776.20 and 366.07 is: 505.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.63 : 776.20 = 366.07 : x
  2. Step 2: Convert to fraction form
    562.63/776.20 = 366.07/x
  3. Step 3: Cross multiply
    562.63x = 776.20 × 366.07
  4. Step 4: Simplify right side
    562.63x = 284,143.53
  5. Step 5: Solve for x
    x = 284,143.53/562.63
  6. Step 6: Final answer
    x = 505.03

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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.