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Finding the Fourth Proportional to 538.23, 807.80 and 294.93

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Solution

The fourth proportional to 538.23, 807.80 and 294.93 is: 442.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.23 : 807.80 = 294.93 : x
  2. Step 2: Convert to fraction form
    538.23/807.80 = 294.93/x
  3. Step 3: Cross multiply
    538.23x = 807.80 × 294.93
  4. Step 4: Simplify right side
    538.23x = 238,242.98
  5. Step 5: Solve for x
    x = 238,242.98/538.23
  6. Step 6: Final answer
    x = 442.64

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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.