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Finding the Fourth Proportional to 554.24, 831 and 294.07

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Solution

The fourth proportional to 554.24, 831 and 294.07 is: 440.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.24 : 831 = 294.07 : x
  2. Step 2: Convert to fraction form
    554.24/831 = 294.07/x
  3. Step 3: Cross multiply
    554.24x = 831 × 294.07
  4. Step 4: Simplify right side
    554.24x = 244,372.17
  5. Step 5: Solve for x
    x = 244,372.17/554.24
  6. Step 6: Final answer
    x = 440.92

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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.