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Finding the Fourth Proportional to 550.51, 759.80 and 314.50

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Solution

The fourth proportional to 550.51, 759.80 and 314.50 is: 434.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.51 : 759.80 = 314.50 : x
  2. Step 2: Convert to fraction form
    550.51/759.80 = 314.50/x
  3. Step 3: Cross multiply
    550.51x = 759.80 × 314.50
  4. Step 4: Simplify right side
    550.51x = 238,957.10
  5. Step 5: Solve for x
    x = 238,957.10/550.51
  6. Step 6: Final answer
    x = 434.06

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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.