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Finding the Fourth Proportional to 465.47, 643.10 and 396.26

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Solution

The fourth proportional to 465.47, 643.10 and 396.26 is: 547.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.47 : 643.10 = 396.26 : x
  2. Step 2: Convert to fraction form
    465.47/643.10 = 396.26/x
  3. Step 3: Cross multiply
    465.47x = 643.10 × 396.26
  4. Step 4: Simplify right side
    465.47x = 254,829.61
  5. Step 5: Solve for x
    x = 254,829.61/465.47
  6. Step 6: Final answer
    x = 547.47

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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.