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Finding the Fourth Proportional to 354.63, 489.74 and 297.03

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Solution

The fourth proportional to 354.63, 489.74 and 297.03 is: 410.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.63 : 489.74 = 297.03 : x
  2. Step 2: Convert to fraction form
    354.63/489.74 = 297.03/x
  3. Step 3: Cross multiply
    354.63x = 489.74 × 297.03
  4. Step 4: Simplify right side
    354.63x = 145,465.99
  5. Step 5: Solve for x
    x = 145,465.99/354.63
  6. Step 6: Final answer
    x = 410.19

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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.