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Finding the Fourth Proportional to 538.03, 802.78 and 522.24

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Solution

The fourth proportional to 538.03, 802.78 and 522.24 is: 779.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.03 : 802.78 = 522.24 : x
  2. Step 2: Convert to fraction form
    538.03/802.78 = 522.24/x
  3. Step 3: Cross multiply
    538.03x = 802.78 × 522.24
  4. Step 4: Simplify right side
    538.03x = 419,243.83
  5. Step 5: Solve for x
    x = 419,243.83/538.03
  6. Step 6: Final answer
    x = 779.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.