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Finding the Fourth Proportional to 572.12, 857.91 and 297.94

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Solution

The fourth proportional to 572.12, 857.91 and 297.94 is: 446.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.12 : 857.91 = 297.94 : x
  2. Step 2: Convert to fraction form
    572.12/857.91 = 297.94/x
  3. Step 3: Cross multiply
    572.12x = 857.91 × 297.94
  4. Step 4: Simplify right side
    572.12x = 255,605.71
  5. Step 5: Solve for x
    x = 255,605.71/572.12
  6. Step 6: Final answer
    x = 446.77

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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.