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Finding the Fourth Proportional to 418.49, 577.23 and 320.06

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Solution

The fourth proportional to 418.49, 577.23 and 320.06 is: 441.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.49 : 577.23 = 320.06 : x
  2. Step 2: Convert to fraction form
    418.49/577.23 = 320.06/x
  3. Step 3: Cross multiply
    418.49x = 577.23 × 320.06
  4. Step 4: Simplify right side
    418.49x = 184,748.23
  5. Step 5: Solve for x
    x = 184,748.23/418.49
  6. Step 6: Final answer
    x = 441.46

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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.