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Finding the Fourth Proportional to 346.83, 478.14 and 241.77

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Solution

The fourth proportional to 346.83, 478.14 and 241.77 is: 333.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.83 : 478.14 = 241.77 : x
  2. Step 2: Convert to fraction form
    346.83/478.14 = 241.77/x
  3. Step 3: Cross multiply
    346.83x = 478.14 × 241.77
  4. Step 4: Simplify right side
    346.83x = 115,598.12
  5. Step 5: Solve for x
    x = 115,598.12/346.83
  6. Step 6: Final answer
    x = 333.30

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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.