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Finding the Fourth Proportional to 434.84, 600.06 and 238.36

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Solution

The fourth proportional to 434.84, 600.06 and 238.36 is: 328.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.84 : 600.06 = 238.36 : x
  2. Step 2: Convert to fraction form
    434.84/600.06 = 238.36/x
  3. Step 3: Cross multiply
    434.84x = 600.06 × 238.36
  4. Step 4: Simplify right side
    434.84x = 143,030.30
  5. Step 5: Solve for x
    x = 143,030.30/434.84
  6. Step 6: Final answer
    x = 328.93

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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.