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Finding the Fourth Proportional to 456.64, 684.48 and 408.32

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Solution

The fourth proportional to 456.64, 684.48 and 408.32 is: 612.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.64 : 684.48 = 408.32 : x
  2. Step 2: Convert to fraction form
    456.64/684.48 = 408.32/x
  3. Step 3: Cross multiply
    456.64x = 684.48 × 408.32
  4. Step 4: Simplify right side
    456.64x = 279,486.87
  5. Step 5: Solve for x
    x = 279,486.87/456.64
  6. Step 6: Final answer
    x = 612.05

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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.