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Finding the Fourth Proportional to 354.02, 489.12 and 302.12

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Solution

The fourth proportional to 354.02, 489.12 and 302.12 is: 417.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.02 : 489.12 = 302.12 : x
  2. Step 2: Convert to fraction form
    354.02/489.12 = 302.12/x
  3. Step 3: Cross multiply
    354.02x = 489.12 × 302.12
  4. Step 4: Simplify right side
    354.02x = 147,772.93
  5. Step 5: Solve for x
    x = 147,772.93/354.02
  6. Step 6: Final answer
    x = 417.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.