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Finding the Fourth Proportional to 456.48, 683.89 and 383.83

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Solution

The fourth proportional to 456.48, 683.89 and 383.83 is: 575.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.48 : 683.89 = 383.83 : x
  2. Step 2: Convert to fraction form
    456.48/683.89 = 383.83/x
  3. Step 3: Cross multiply
    456.48x = 683.89 × 383.83
  4. Step 4: Simplify right side
    456.48x = 262,494.83
  5. Step 5: Solve for x
    x = 262,494.83/456.48
  6. Step 6: Final answer
    x = 575.04

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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.