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Finding the Fourth Proportional to 432.26, 595.66 and 314.03

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Solution

The fourth proportional to 432.26, 595.66 and 314.03 is: 432.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.26 : 595.66 = 314.03 : x
  2. Step 2: Convert to fraction form
    432.26/595.66 = 314.03/x
  3. Step 3: Cross multiply
    432.26x = 595.66 × 314.03
  4. Step 4: Simplify right side
    432.26x = 187,055.11
  5. Step 5: Solve for x
    x = 187,055.11/432.26
  6. Step 6: Final answer
    x = 432.74

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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.