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Finding the Fourth Proportional to 456.14, 684.40 and 310.05

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Solution

The fourth proportional to 456.14, 684.40 and 310.05 is: 465.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.14 : 684.40 = 310.05 : x
  2. Step 2: Convert to fraction form
    456.14/684.40 = 310.05/x
  3. Step 3: Cross multiply
    456.14x = 684.40 × 310.05
  4. Step 4: Simplify right side
    456.14x = 212,198.22
  5. Step 5: Solve for x
    x = 212,198.22/456.14
  6. Step 6: Final answer
    x = 465.20

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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.