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Finding the Fourth Proportional to 383.53, 575.57 and 346.81

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Solution

The fourth proportional to 383.53, 575.57 and 346.81 is: 520.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.53 : 575.57 = 346.81 : x
  2. Step 2: Convert to fraction form
    383.53/575.57 = 346.81/x
  3. Step 3: Cross multiply
    383.53x = 575.57 × 346.81
  4. Step 4: Simplify right side
    383.53x = 199,613.43
  5. Step 5: Solve for x
    x = 199,613.43/383.53
  6. Step 6: Final answer
    x = 520.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.