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Finding the Fourth Proportional to 538.40, 807.72 and 173.20

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Solution

The fourth proportional to 538.40, 807.72 and 173.20 is: 259.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.40 : 807.72 = 173.20 : x
  2. Step 2: Convert to fraction form
    538.40/807.72 = 173.20/x
  3. Step 3: Cross multiply
    538.40x = 807.72 × 173.20
  4. Step 4: Simplify right side
    538.40x = 139,897.10
  5. Step 5: Solve for x
    x = 139,897.10/538.40
  6. Step 6: Final answer
    x = 259.84

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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.