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Finding the Fourth Proportional to 455.36, 683.08 and 318.46

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Solution

The fourth proportional to 455.36, 683.08 and 318.46 is: 477.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.36 : 683.08 = 318.46 : x
  2. Step 2: Convert to fraction form
    455.36/683.08 = 318.46/x
  3. Step 3: Cross multiply
    455.36x = 683.08 × 318.46
  4. Step 4: Simplify right side
    455.36x = 217,533.66
  5. Step 5: Solve for x
    x = 217,533.66/455.36
  6. Step 6: Final answer
    x = 477.72

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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.