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Finding the Fourth Proportional to 918.99, 1,378.47 and 269.64

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Solution

The fourth proportional to 918.99, 1,378.47 and 269.64 is: 404.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.99 : 1,378.47 = 269.64 : x
  2. Step 2: Convert to fraction form
    918.99/1,378.47 = 269.64/x
  3. Step 3: Cross multiply
    918.99x = 1,378.47 × 269.64
  4. Step 4: Simplify right side
    918.99x = 371,690.65
  5. Step 5: Solve for x
    x = 371,690.65/918.99
  6. Step 6: Final answer
    x = 404.46

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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.