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Finding the Fourth Proportional to 346.16, 477.15 and 241.40

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Solution

The fourth proportional to 346.16, 477.15 and 241.40 is: 332.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.16 : 477.15 = 241.40 : x
  2. Step 2: Convert to fraction form
    346.16/477.15 = 241.40/x
  3. Step 3: Cross multiply
    346.16x = 477.15 × 241.40
  4. Step 4: Simplify right side
    346.16x = 115,184.01
  5. Step 5: Solve for x
    x = 115,184.01/346.16
  6. Step 6: Final answer
    x = 332.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.