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Finding the Fourth Proportional to 432.93, 643.84 and 419.26

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Solution

The fourth proportional to 432.93, 643.84 and 419.26 is: 623.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.93 : 643.84 = 419.26 : x
  2. Step 2: Convert to fraction form
    432.93/643.84 = 419.26/x
  3. Step 3: Cross multiply
    432.93x = 643.84 × 419.26
  4. Step 4: Simplify right side
    432.93x = 269,934.26
  5. Step 5: Solve for x
    x = 269,934.26/432.93
  6. Step 6: Final answer
    x = 623.51

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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.