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Finding the Fourth Proportional to 457.58, 684.68 and 336.08

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Solution

The fourth proportional to 457.58, 684.68 and 336.08 is: 502.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.58 : 684.68 = 336.08 : x
  2. Step 2: Convert to fraction form
    457.58/684.68 = 336.08/x
  3. Step 3: Cross multiply
    457.58x = 684.68 × 336.08
  4. Step 4: Simplify right side
    457.58x = 230,102.15
  5. Step 5: Solve for x
    x = 230,102.15/457.58
  6. Step 6: Final answer
    x = 502.87

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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.