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Finding the Fourth Proportional to 383.48, 530.34 and 336.80

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Solution

The fourth proportional to 383.48, 530.34 and 336.80 is: 465.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.48 : 530.34 = 336.80 : x
  2. Step 2: Convert to fraction form
    383.48/530.34 = 336.80/x
  3. Step 3: Cross multiply
    383.48x = 530.34 × 336.80
  4. Step 4: Simplify right side
    383.48x = 178,618.51
  5. Step 5: Solve for x
    x = 178,618.51/383.48
  6. Step 6: Final answer
    x = 465.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.