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Finding the Fourth Proportional to 348.14, 524.47 and 331.16

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Solution

The fourth proportional to 348.14, 524.47 and 331.16 is: 498.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.14 : 524.47 = 331.16 : x
  2. Step 2: Convert to fraction form
    348.14/524.47 = 331.16/x
  3. Step 3: Cross multiply
    348.14x = 524.47 × 331.16
  4. Step 4: Simplify right side
    348.14x = 173,681.83
  5. Step 5: Solve for x
    x = 173,681.83/348.14
  6. Step 6: Final answer
    x = 498.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.