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Finding the Fourth Proportional to 434.25, 599.00 and 294.39

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Solution

The fourth proportional to 434.25, 599.00 and 294.39 is: 406.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.25 : 599.00 = 294.39 : x
  2. Step 2: Convert to fraction form
    434.25/599.00 = 294.39/x
  3. Step 3: Cross multiply
    434.25x = 599.00 × 294.39
  4. Step 4: Simplify right side
    434.25x = 176,338.14
  5. Step 5: Solve for x
    x = 176,338.14/434.25
  6. Step 6: Final answer
    x = 406.08

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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.