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Finding the Fourth Proportional to 456.96, 683.76 and 429.60

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Solution

The fourth proportional to 456.96, 683.76 and 429.60 is: 642.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.96 : 683.76 = 429.60 : x
  2. Step 2: Convert to fraction form
    456.96/683.76 = 429.60/x
  3. Step 3: Cross multiply
    456.96x = 683.76 × 429.60
  4. Step 4: Simplify right side
    456.96x = 293,743.30
  5. Step 5: Solve for x
    x = 293,743.30/456.96
  6. Step 6: Final answer
    x = 642.82

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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.