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Finding the Fourth Proportional to 434.84, 599.93 and 269.09

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Solution

The fourth proportional to 434.84, 599.93 and 269.09 is: 371.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.84 : 599.93 = 269.09 : x
  2. Step 2: Convert to fraction form
    434.84/599.93 = 269.09/x
  3. Step 3: Cross multiply
    434.84x = 599.93 × 269.09
  4. Step 4: Simplify right side
    434.84x = 161,430.82
  5. Step 5: Solve for x
    x = 161,430.82/434.84
  6. Step 6: Final answer
    x = 371.25

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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.