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Finding the Fourth Proportional to 346.10, 477.64 and 235.80

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Solution

The fourth proportional to 346.10, 477.64 and 235.80 is: 325.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.10 : 477.64 = 235.80 : x
  2. Step 2: Convert to fraction form
    346.10/477.64 = 235.80/x
  3. Step 3: Cross multiply
    346.10x = 477.64 × 235.80
  4. Step 4: Simplify right side
    346.10x = 112,627.51
  5. Step 5: Solve for x
    x = 112,627.51/346.10
  6. Step 6: Final answer
    x = 325.42

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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.