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Finding the Fourth Proportional to 434.49, 599.27 and 259.80

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Solution

The fourth proportional to 434.49, 599.27 and 259.80 is: 358.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.49 : 599.27 = 259.80 : x
  2. Step 2: Convert to fraction form
    434.49/599.27 = 259.80/x
  3. Step 3: Cross multiply
    434.49x = 599.27 × 259.80
  4. Step 4: Simplify right side
    434.49x = 155,689.05
  5. Step 5: Solve for x
    x = 155,689.05/434.49
  6. Step 6: Final answer
    x = 358.33

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