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Finding the Fourth Proportional to 457.90, 687.23 and 340.87

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Solution

The fourth proportional to 457.90, 687.23 and 340.87 is: 511.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.90 : 687.23 = 340.87 : x
  2. Step 2: Convert to fraction form
    457.90/687.23 = 340.87/x
  3. Step 3: Cross multiply
    457.90x = 687.23 × 340.87
  4. Step 4: Simplify right side
    457.90x = 234,256.09
  5. Step 5: Solve for x
    x = 234,256.09/457.90
  6. Step 6: Final answer
    x = 511.59

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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.