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Finding the Fourth Proportional to 348.16, 523.26 and 290.74

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Solution

The fourth proportional to 348.16, 523.26 and 290.74 is: 436.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.16 : 523.26 = 290.74 : x
  2. Step 2: Convert to fraction form
    348.16/523.26 = 290.74/x
  3. Step 3: Cross multiply
    348.16x = 523.26 × 290.74
  4. Step 4: Simplify right side
    348.16x = 152,132.61
  5. Step 5: Solve for x
    x = 152,132.61/348.16
  6. Step 6: Final answer
    x = 436.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.