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Finding the Fourth Proportional to 568.29, 852.97 and 294.58

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Solution

The fourth proportional to 568.29, 852.97 and 294.58 is: 442.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.29 : 852.97 = 294.58 : x
  2. Step 2: Convert to fraction form
    568.29/852.97 = 294.58/x
  3. Step 3: Cross multiply
    568.29x = 852.97 × 294.58
  4. Step 4: Simplify right side
    568.29x = 251,264.01
  5. Step 5: Solve for x
    x = 251,264.01/568.29
  6. Step 6: Final answer
    x = 442.14

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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.