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Finding the Fourth Proportional to 457.10, 684.64 and 359.48

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Solution

The fourth proportional to 457.10, 684.64 and 359.48 is: 538.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.10 : 684.64 = 359.48 : x
  2. Step 2: Convert to fraction form
    457.10/684.64 = 359.48/x
  3. Step 3: Cross multiply
    457.10x = 684.64 × 359.48
  4. Step 4: Simplify right side
    457.10x = 246,114.39
  5. Step 5: Solve for x
    x = 246,114.39/457.10
  6. Step 6: Final answer
    x = 538.43

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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.