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Finding the Fourth Proportional to 607.06, 910.62 and 260.38

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Solution

The fourth proportional to 607.06, 910.62 and 260.38 is: 390.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.06 : 910.62 = 260.38 : x
  2. Step 2: Convert to fraction form
    607.06/910.62 = 260.38/x
  3. Step 3: Cross multiply
    607.06x = 910.62 × 260.38
  4. Step 4: Simplify right side
    607.06x = 237,107.24
  5. Step 5: Solve for x
    x = 237,107.24/607.06
  6. Step 6: Final answer
    x = 390.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.