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Finding the Fourth Proportional to 906.61, 1,360.14 and 257.35

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Solution

The fourth proportional to 906.61, 1,360.14 and 257.35 is: 386.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.61 : 1,360.14 = 257.35 : x
  2. Step 2: Convert to fraction form
    906.61/1,360.14 = 257.35/x
  3. Step 3: Cross multiply
    906.61x = 1,360.14 × 257.35
  4. Step 4: Simplify right side
    906.61x = 350,023.94
  5. Step 5: Solve for x
    x = 350,023.94/906.61
  6. Step 6: Final answer
    x = 386.08

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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.