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Finding the Fourth Proportional to 358.98, 494.96 and 260.70

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Solution

The fourth proportional to 358.98, 494.96 and 260.70 is: 359.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.98 : 494.96 = 260.70 : x
  2. Step 2: Convert to fraction form
    358.98/494.96 = 260.70/x
  3. Step 3: Cross multiply
    358.98x = 494.96 × 260.70
  4. Step 4: Simplify right side
    358.98x = 129,034.77
  5. Step 5: Solve for x
    x = 129,034.77/358.98
  6. Step 6: Final answer
    x = 359.45

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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.