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Finding the Fourth Proportional to 383.78, 577.61 and 346.05

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Solution

The fourth proportional to 383.78, 577.61 and 346.05 is: 520.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.78 : 577.61 = 346.05 : x
  2. Step 2: Convert to fraction form
    383.78/577.61 = 346.05/x
  3. Step 3: Cross multiply
    383.78x = 577.61 × 346.05
  4. Step 4: Simplify right side
    383.78x = 199,881.51
  5. Step 5: Solve for x
    x = 199,881.51/383.78
  6. Step 6: Final answer
    x = 520.82

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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.