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Finding the Fourth Proportional to 909.30, 1,363.78 and 260.08

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Solution

The fourth proportional to 909.30, 1,363.78 and 260.08 is: 390.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.30 : 1,363.78 = 260.08 : x
  2. Step 2: Convert to fraction form
    909.30/1,363.78 = 260.08/x
  3. Step 3: Cross multiply
    909.30x = 1,363.78 × 260.08
  4. Step 4: Simplify right side
    909.30x = 354,691.90
  5. Step 5: Solve for x
    x = 354,691.90/909.30
  6. Step 6: Final answer
    x = 390.07

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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.