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Finding the Fourth Proportional to 346.61, 521.66 and 260.39

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Solution

The fourth proportional to 346.61, 521.66 and 260.39 is: 391.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.61 : 521.66 = 260.39 : x
  2. Step 2: Convert to fraction form
    346.61/521.66 = 260.39/x
  3. Step 3: Cross multiply
    346.61x = 521.66 × 260.39
  4. Step 4: Simplify right side
    346.61x = 135,835.05
  5. Step 5: Solve for x
    x = 135,835.05/346.61
  6. Step 6: Final answer
    x = 391.90

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