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Finding the Fourth Proportional to 736.08, 1,015.84 and 404.50

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Solution

The fourth proportional to 736.08, 1,015.84 and 404.50 is: 558.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.08 : 1,015.84 = 404.50 : x
  2. Step 2: Convert to fraction form
    736.08/1,015.84 = 404.50/x
  3. Step 3: Cross multiply
    736.08x = 1,015.84 × 404.50
  4. Step 4: Simplify right side
    736.08x = 410,907.28
  5. Step 5: Solve for x
    x = 410,907.28/736.08
  6. Step 6: Final answer
    x = 558.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.