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Finding the Fourth Proportional to 432.98, 597.60 and 285.63

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Solution

The fourth proportional to 432.98, 597.60 and 285.63 is: 394.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.98 : 597.60 = 285.63 : x
  2. Step 2: Convert to fraction form
    432.98/597.60 = 285.63/x
  3. Step 3: Cross multiply
    432.98x = 597.60 × 285.63
  4. Step 4: Simplify right side
    432.98x = 170,692.49
  5. Step 5: Solve for x
    x = 170,692.49/432.98
  6. Step 6: Final answer
    x = 394.23

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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.