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Finding the Fourth Proportional to 354.96, 529.48 and 297.55

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Solution

The fourth proportional to 354.96, 529.48 and 297.55 is: 443.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.96 : 529.48 = 297.55 : x
  2. Step 2: Convert to fraction form
    354.96/529.48 = 297.55/x
  3. Step 3: Cross multiply
    354.96x = 529.48 × 297.55
  4. Step 4: Simplify right side
    354.96x = 157,546.77
  5. Step 5: Solve for x
    x = 157,546.77/354.96
  6. Step 6: Final answer
    x = 443.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.