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Finding the Fourth Proportional to 432.93, 646.25 and 378.26

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Solution

The fourth proportional to 432.93, 646.25 and 378.26 is: 564.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.93 : 646.25 = 378.26 : x
  2. Step 2: Convert to fraction form
    432.93/646.25 = 378.26/x
  3. Step 3: Cross multiply
    432.93x = 646.25 × 378.26
  4. Step 4: Simplify right side
    432.93x = 244,448.89
  5. Step 5: Solve for x
    x = 244,448.89/432.93
  6. Step 6: Final answer
    x = 564.63

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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.