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Finding the Fourth Proportional to 469.89, 647.19 and 432.99

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Solution

The fourth proportional to 469.89, 647.19 and 432.99 is: 596.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.89 : 647.19 = 432.99 : x
  2. Step 2: Convert to fraction form
    469.89/647.19 = 432.99/x
  3. Step 3: Cross multiply
    469.89x = 647.19 × 432.99
  4. Step 4: Simplify right side
    469.89x = 280,226.80
  5. Step 5: Solve for x
    x = 280,226.80/469.89
  6. Step 6: Final answer
    x = 596.37

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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.