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Finding the Fourth Proportional to 457.02, 684.25 and 317.90

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Solution

The fourth proportional to 457.02, 684.25 and 317.90 is: 475.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.02 : 684.25 = 317.90 : x
  2. Step 2: Convert to fraction form
    457.02/684.25 = 317.90/x
  3. Step 3: Cross multiply
    457.02x = 684.25 × 317.90
  4. Step 4: Simplify right side
    457.02x = 217,523.99
  5. Step 5: Solve for x
    x = 217,523.99/457.02
  6. Step 6: Final answer
    x = 475.96

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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.