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Finding the Fourth Proportional to 434.01, 597.47 and 335.58

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Solution

The fourth proportional to 434.01, 597.47 and 335.58 is: 461.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.01 : 597.47 = 335.58 : x
  2. Step 2: Convert to fraction form
    434.01/597.47 = 335.58/x
  3. Step 3: Cross multiply
    434.01x = 597.47 × 335.58
  4. Step 4: Simplify right side
    434.01x = 200,497.30
  5. Step 5: Solve for x
    x = 200,497.30/434.01
  6. Step 6: Final answer
    x = 461.96

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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.