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Finding the Fourth Proportional to 383.71, 572.08 and 346.81

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Solution

The fourth proportional to 383.71, 572.08 and 346.81 is: 517.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.71 : 572.08 = 346.81 : x
  2. Step 2: Convert to fraction form
    383.71/572.08 = 346.81/x
  3. Step 3: Cross multiply
    383.71x = 572.08 × 346.81
  4. Step 4: Simplify right side
    383.71x = 198,403.06
  5. Step 5: Solve for x
    x = 198,403.06/383.71
  6. Step 6: Final answer
    x = 517.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.