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Finding the Fourth Proportional to 347.74, 524.60 and 330.64

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Solution

The fourth proportional to 347.74, 524.60 and 330.64 is: 498.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.74 : 524.60 = 330.64 : x
  2. Step 2: Convert to fraction form
    347.74/524.60 = 330.64/x
  3. Step 3: Cross multiply
    347.74x = 524.60 × 330.64
  4. Step 4: Simplify right side
    347.74x = 173,453.74
  5. Step 5: Solve for x
    x = 173,453.74/347.74
  6. Step 6: Final answer
    x = 498.80

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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.