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Finding the Fourth Proportional to 918.37, 1,377.66 and 269.10

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Solution

The fourth proportional to 918.37, 1,377.66 and 269.10 is: 403.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.37 : 1,377.66 = 269.10 : x
  2. Step 2: Convert to fraction form
    918.37/1,377.66 = 269.10/x
  3. Step 3: Cross multiply
    918.37x = 1,377.66 × 269.10
  4. Step 4: Simplify right side
    918.37x = 370,728.31
  5. Step 5: Solve for x
    x = 370,728.31/918.37
  6. Step 6: Final answer
    x = 403.68

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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.