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Finding the Fourth Proportional to 432.75, 595.75 and 334.33

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Solution

The fourth proportional to 432.75, 595.75 and 334.33 is: 460.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.75 : 595.75 = 334.33 : x
  2. Step 2: Convert to fraction form
    432.75/595.75 = 334.33/x
  3. Step 3: Cross multiply
    432.75x = 595.75 × 334.33
  4. Step 4: Simplify right side
    432.75x = 199,177.10
  5. Step 5: Solve for x
    x = 199,177.10/432.75
  6. Step 6: Final answer
    x = 460.26

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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.