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Finding the Fourth Proportional to 562.68, 777.06 and 366.12

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Solution

The fourth proportional to 562.68, 777.06 and 366.12 is: 505.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.68 : 777.06 = 366.12 : x
  2. Step 2: Convert to fraction form
    562.68/777.06 = 366.12/x
  3. Step 3: Cross multiply
    562.68x = 777.06 × 366.12
  4. Step 4: Simplify right side
    562.68x = 284,497.21
  5. Step 5: Solve for x
    x = 284,497.21/562.68
  6. Step 6: Final answer
    x = 505.61

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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.