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Finding the Fourth Proportional to 432.92, 597.62 and 302.44

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Solution

The fourth proportional to 432.92, 597.62 and 302.44 is: 417.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.92 : 597.62 = 302.44 : x
  2. Step 2: Convert to fraction form
    432.92/597.62 = 302.44/x
  3. Step 3: Cross multiply
    432.92x = 597.62 × 302.44
  4. Step 4: Simplify right side
    432.92x = 180,744.19
  5. Step 5: Solve for x
    x = 180,744.19/432.92
  6. Step 6: Final answer
    x = 417.50

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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.