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Finding the Fourth Proportional to 465.90, 643.77 and 367.10

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Solution

The fourth proportional to 465.90, 643.77 and 367.10 is: 507.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.90 : 643.77 = 367.10 : x
  2. Step 2: Convert to fraction form
    465.90/643.77 = 367.10/x
  3. Step 3: Cross multiply
    465.90x = 643.77 × 367.10
  4. Step 4: Simplify right side
    465.90x = 236,327.97
  5. Step 5: Solve for x
    x = 236,327.97/465.90
  6. Step 6: Final answer
    x = 507.25

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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.