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Finding the Fourth Proportional to 383.71, 529.58 and 309.91

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Solution

The fourth proportional to 383.71, 529.58 and 309.91 is: 427.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.71 : 529.58 = 309.91 : x
  2. Step 2: Convert to fraction form
    383.71/529.58 = 309.91/x
  3. Step 3: Cross multiply
    383.71x = 529.58 × 309.91
  4. Step 4: Simplify right side
    383.71x = 164,122.14
  5. Step 5: Solve for x
    x = 164,122.14/383.71
  6. Step 6: Final answer
    x = 427.72

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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.