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Finding the Fourth Proportional to 432.69, 597.39 and 334.68

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Solution

The fourth proportional to 432.69, 597.39 and 334.68 is: 462.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.69 : 597.39 = 334.68 : x
  2. Step 2: Convert to fraction form
    432.69/597.39 = 334.68/x
  3. Step 3: Cross multiply
    432.69x = 597.39 × 334.68
  4. Step 4: Simplify right side
    432.69x = 199,934.49
  5. Step 5: Solve for x
    x = 199,934.49/432.69
  6. Step 6: Final answer
    x = 462.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.