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Finding the Fourth Proportional to 456.88, 684.96 and 349.60

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Solution

The fourth proportional to 456.88, 684.96 and 349.60 is: 524.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.88 : 684.96 = 349.60 : x
  2. Step 2: Convert to fraction form
    456.88/684.96 = 349.60/x
  3. Step 3: Cross multiply
    456.88x = 684.96 × 349.60
  4. Step 4: Simplify right side
    456.88x = 239,462.02
  5. Step 5: Solve for x
    x = 239,462.02/456.88
  6. Step 6: Final answer
    x = 524.12

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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.