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Finding the Fourth Proportional to 434.02, 650.88 and 241.50

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Solution

The fourth proportional to 434.02, 650.88 and 241.50 is: 362.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.02 : 650.88 = 241.50 : x
  2. Step 2: Convert to fraction form
    434.02/650.88 = 241.50/x
  3. Step 3: Cross multiply
    434.02x = 650.88 × 241.50
  4. Step 4: Simplify right side
    434.02x = 157,187.52
  5. Step 5: Solve for x
    x = 157,187.52/434.02
  6. Step 6: Final answer
    x = 362.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.