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Finding the Fourth Proportional to 599.94, 899.44 and 275.08

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Solution

The fourth proportional to 599.94, 899.44 and 275.08 is: 412.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.94 : 899.44 = 275.08 : x
  2. Step 2: Convert to fraction form
    599.94/899.44 = 275.08/x
  3. Step 3: Cross multiply
    599.94x = 899.44 × 275.08
  4. Step 4: Simplify right side
    599.94x = 247,417.96
  5. Step 5: Solve for x
    x = 247,417.96/599.94
  6. Step 6: Final answer
    x = 412.40

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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.