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Finding the Fourth Proportional to 909.04, 1,364.12 and 396.08

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Solution

The fourth proportional to 909.04, 1,364.12 and 396.08 is: 594.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.04 : 1,364.12 = 396.08 : x
  2. Step 2: Convert to fraction form
    909.04/1,364.12 = 396.08/x
  3. Step 3: Cross multiply
    909.04x = 1,364.12 × 396.08
  4. Step 4: Simplify right side
    909.04x = 540,300.65
  5. Step 5: Solve for x
    x = 540,300.65/909.04
  6. Step 6: Final answer
    x = 594.36

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Why These Related Problems?

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