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Finding the Fourth Proportional to 563.02, 844.25 and 172.91

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Solution

The fourth proportional to 563.02, 844.25 and 172.91 is: 259.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.02 : 844.25 = 172.91 : x
  2. Step 2: Convert to fraction form
    563.02/844.25 = 172.91/x
  3. Step 3: Cross multiply
    563.02x = 844.25 × 172.91
  4. Step 4: Simplify right side
    563.02x = 145,980.51
  5. Step 5: Solve for x
    x = 145,980.51/563.02
  6. Step 6: Final answer
    x = 259.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.