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Finding the Fourth Proportional to 557.84, 834.96 and 297.19

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Solution

The fourth proportional to 557.84, 834.96 and 297.19 is: 444.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.84 : 834.96 = 297.19 : x
  2. Step 2: Convert to fraction form
    557.84/834.96 = 297.19/x
  3. Step 3: Cross multiply
    557.84x = 834.96 × 297.19
  4. Step 4: Simplify right side
    557.84x = 248,137.55
  5. Step 5: Solve for x
    x = 248,137.55/557.84
  6. Step 6: Final answer
    x = 444.82

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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.