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Finding the Fourth Proportional to 456.90, 684.06 and 317.78

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Solution

The fourth proportional to 456.90, 684.06 and 317.78 is: 475.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.90 : 684.06 = 317.78 : x
  2. Step 2: Convert to fraction form
    456.90/684.06 = 317.78/x
  3. Step 3: Cross multiply
    456.90x = 684.06 × 317.78
  4. Step 4: Simplify right side
    456.90x = 217,380.59
  5. Step 5: Solve for x
    x = 217,380.59/456.90
  6. Step 6: Final answer
    x = 475.77

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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.