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Finding the Fourth Proportional to 432.90, 646.67 and 389.49

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Solution

The fourth proportional to 432.90, 646.67 and 389.49 is: 581.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.90 : 646.67 = 389.49 : x
  2. Step 2: Convert to fraction form
    432.90/646.67 = 389.49/x
  3. Step 3: Cross multiply
    432.90x = 646.67 × 389.49
  4. Step 4: Simplify right side
    432.90x = 251,869.55
  5. Step 5: Solve for x
    x = 251,869.55/432.90
  6. Step 6: Final answer
    x = 581.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.