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Finding the Fourth Proportional to 562.93, 777.20 and 367.00

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Solution

The fourth proportional to 562.93, 777.20 and 367.00 is: 506.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.93 : 777.20 = 367.00 : x
  2. Step 2: Convert to fraction form
    562.93/777.20 = 367.00/x
  3. Step 3: Cross multiply
    562.93x = 777.20 × 367.00
  4. Step 4: Simplify right side
    562.93x = 285,228.62
  5. Step 5: Solve for x
    x = 285,228.62/562.93
  6. Step 6: Final answer
    x = 506.69

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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.