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Finding the Fourth Proportional to 348.10, 522.14 and 245.84

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Solution

The fourth proportional to 348.10, 522.14 and 245.84 is: 368.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.10 : 522.14 = 245.84 : x
  2. Step 2: Convert to fraction form
    348.10/522.14 = 245.84/x
  3. Step 3: Cross multiply
    348.10x = 522.14 × 245.84
  4. Step 4: Simplify right side
    348.10x = 128,359.06
  5. Step 5: Solve for x
    x = 128,359.06/348.10
  6. Step 6: Final answer
    x = 368.74

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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.