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Finding the Fourth Proportional to 434.51, 600.40 and 341.96

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Solution

The fourth proportional to 434.51, 600.40 and 341.96 is: 472.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.51 : 600.40 = 341.96 : x
  2. Step 2: Convert to fraction form
    434.51/600.40 = 341.96/x
  3. Step 3: Cross multiply
    434.51x = 600.40 × 341.96
  4. Step 4: Simplify right side
    434.51x = 205,311.07
  5. Step 5: Solve for x
    x = 205,311.07/434.51
  6. Step 6: Final answer
    x = 472.52

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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.