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Finding the Fourth Proportional to 562.49, 776.00 and 366.02

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Solution

The fourth proportional to 562.49, 776.00 and 366.02 is: 504.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.49 : 776.00 = 366.02 : x
  2. Step 2: Convert to fraction form
    562.49/776.00 = 366.02/x
  3. Step 3: Cross multiply
    562.49x = 776.00 × 366.02
  4. Step 4: Simplify right side
    562.49x = 284,029.69
  5. Step 5: Solve for x
    x = 284,029.69/562.49
  6. Step 6: Final answer
    x = 504.95

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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.