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Finding the Fourth Proportional to 432.07, 596.63 and 314.71

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Solution

The fourth proportional to 432.07, 596.63 and 314.71 is: 434.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.07 : 596.63 = 314.71 : x
  2. Step 2: Convert to fraction form
    432.07/596.63 = 314.71/x
  3. Step 3: Cross multiply
    432.07x = 596.63 × 314.71
  4. Step 4: Simplify right side
    432.07x = 187,764.72
  5. Step 5: Solve for x
    x = 187,764.72/432.07
  6. Step 6: Final answer
    x = 434.57

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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.