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Finding the Fourth Proportional to 569.02, 784.74 and 495.22

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Solution

The fourth proportional to 569.02, 784.74 and 495.22 is: 682.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.02 : 784.74 = 495.22 : x
  2. Step 2: Convert to fraction form
    569.02/784.74 = 495.22/x
  3. Step 3: Cross multiply
    569.02x = 784.74 × 495.22
  4. Step 4: Simplify right side
    569.02x = 388,618.94
  5. Step 5: Solve for x
    x = 388,618.94/569.02
  6. Step 6: Final answer
    x = 682.96

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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.