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Finding the Fourth Proportional to 431.76, 596.37 and 334.02

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Solution

The fourth proportional to 431.76, 596.37 and 334.02 is: 461.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.76 : 596.37 = 334.02 : x
  2. Step 2: Convert to fraction form
    431.76/596.37 = 334.02/x
  3. Step 3: Cross multiply
    431.76x = 596.37 × 334.02
  4. Step 4: Simplify right side
    431.76x = 199,199.51
  5. Step 5: Solve for x
    x = 199,199.51/431.76
  6. Step 6: Final answer
    x = 461.37

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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.