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Finding the Fourth Proportional to 340.87, 469.23 and 257.84

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Solution

The fourth proportional to 340.87, 469.23 and 257.84 is: 354.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.87 : 469.23 = 257.84 : x
  2. Step 2: Convert to fraction form
    340.87/469.23 = 257.84/x
  3. Step 3: Cross multiply
    340.87x = 469.23 × 257.84
  4. Step 4: Simplify right side
    340.87x = 120,986.26
  5. Step 5: Solve for x
    x = 120,986.26/340.87
  6. Step 6: Final answer
    x = 354.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.