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Finding the Fourth Proportional to 570.34, 853.92 and 295.84

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Solution

The fourth proportional to 570.34, 853.92 and 295.84 is: 442.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.34 : 853.92 = 295.84 : x
  2. Step 2: Convert to fraction form
    570.34/853.92 = 295.84/x
  3. Step 3: Cross multiply
    570.34x = 853.92 × 295.84
  4. Step 4: Simplify right side
    570.34x = 252,623.69
  5. Step 5: Solve for x
    x = 252,623.69/570.34
  6. Step 6: Final answer
    x = 442.94

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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.