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Finding the Fourth Proportional to 354.68, 529.54 and 293.96

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Solution

The fourth proportional to 354.68, 529.54 and 293.96 is: 438.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.68 : 529.54 = 293.96 : x
  2. Step 2: Convert to fraction form
    354.68/529.54 = 293.96/x
  3. Step 3: Cross multiply
    354.68x = 529.54 × 293.96
  4. Step 4: Simplify right side
    354.68x = 155,663.58
  5. Step 5: Solve for x
    x = 155,663.58/354.68
  6. Step 6: Final answer
    x = 438.88

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