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Finding the Fourth Proportional to 432.44, 595.96 and 424.54

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Solution

The fourth proportional to 432.44, 595.96 and 424.54 is: 585.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.44 : 595.96 = 424.54 : x
  2. Step 2: Convert to fraction form
    432.44/595.96 = 424.54/x
  3. Step 3: Cross multiply
    432.44x = 595.96 × 424.54
  4. Step 4: Simplify right side
    432.44x = 253,008.54
  5. Step 5: Solve for x
    x = 253,008.54/432.44
  6. Step 6: Final answer
    x = 585.07

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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.