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Finding the Fourth Proportional to 538.54, 807.91 and 192.08

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Solution

The fourth proportional to 538.54, 807.91 and 192.08 is: 288.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.54 : 807.91 = 192.08 : x
  2. Step 2: Convert to fraction form
    538.54/807.91 = 192.08/x
  3. Step 3: Cross multiply
    538.54x = 807.91 × 192.08
  4. Step 4: Simplify right side
    538.54x = 155,184.89
  5. Step 5: Solve for x
    x = 155,184.89/538.54
  6. Step 6: Final answer
    x = 288.16

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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.