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Finding the Fourth Proportional to 434.61, 599.59 and 277.25

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Solution

The fourth proportional to 434.61, 599.59 and 277.25 is: 382.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.61 : 599.59 = 277.25 : x
  2. Step 2: Convert to fraction form
    434.61/599.59 = 277.25/x
  3. Step 3: Cross multiply
    434.61x = 599.59 × 277.25
  4. Step 4: Simplify right side
    434.61x = 166,233.68
  5. Step 5: Solve for x
    x = 166,233.68/434.61
  6. Step 6: Final answer
    x = 382.49

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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.