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Finding the Fourth Proportional to 562.93, 776.71 and 366.37

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Solution

The fourth proportional to 562.93, 776.71 and 366.37 is: 505.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.93 : 776.71 = 366.37 : x
  2. Step 2: Convert to fraction form
    562.93/776.71 = 366.37/x
  3. Step 3: Cross multiply
    562.93x = 776.71 × 366.37
  4. Step 4: Simplify right side
    562.93x = 284,563.24
  5. Step 5: Solve for x
    x = 284,563.24/562.93
  6. Step 6: Final answer
    x = 505.50

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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.