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Finding the Fourth Proportional to 383.22, 577.07 and 275.76

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Solution

The fourth proportional to 383.22, 577.07 and 275.76 is: 415.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.22 : 577.07 = 275.76 : x
  2. Step 2: Convert to fraction form
    383.22/577.07 = 275.76/x
  3. Step 3: Cross multiply
    383.22x = 577.07 × 275.76
  4. Step 4: Simplify right side
    383.22x = 159,132.82
  5. Step 5: Solve for x
    x = 159,132.82/383.22
  6. Step 6: Final answer
    x = 415.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.