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Finding the Fourth Proportional to 434.61, 599.69 and 341.37

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Solution

The fourth proportional to 434.61, 599.69 and 341.37 is: 471.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.61 : 599.69 = 341.37 : x
  2. Step 2: Convert to fraction form
    434.61/599.69 = 341.37/x
  3. Step 3: Cross multiply
    434.61x = 599.69 × 341.37
  4. Step 4: Simplify right side
    434.61x = 204,714.47
  5. Step 5: Solve for x
    x = 204,714.47/434.61
  6. Step 6: Final answer
    x = 471.03

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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.