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Finding the Fourth Proportional to 456.36, 684.06 and 317.84

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Solution

The fourth proportional to 456.36, 684.06 and 317.84 is: 476.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.36 : 684.06 = 317.84 : x
  2. Step 2: Convert to fraction form
    456.36/684.06 = 317.84/x
  3. Step 3: Cross multiply
    456.36x = 684.06 × 317.84
  4. Step 4: Simplify right side
    456.36x = 217,421.63
  5. Step 5: Solve for x
    x = 217,421.63/456.36
  6. Step 6: Final answer
    x = 476.43

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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.