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Finding the Fourth Proportional to 348.80, 478.59 and 312.35

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Solution

The fourth proportional to 348.80, 478.59 and 312.35 is: 428.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.80 : 478.59 = 312.35 : x
  2. Step 2: Convert to fraction form
    348.80/478.59 = 312.35/x
  3. Step 3: Cross multiply
    348.80x = 478.59 × 312.35
  4. Step 4: Simplify right side
    348.80x = 149,486.02
  5. Step 5: Solve for x
    x = 149,486.02/348.80
  6. Step 6: Final answer
    x = 428.57

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.