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Finding the Fourth Proportional to 597.02, 899.03 and 444.02

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Solution

The fourth proportional to 597.02, 899.03 and 444.02 is: 668.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.02 : 899.03 = 444.02 : x
  2. Step 2: Convert to fraction form
    597.02/899.03 = 444.02/x
  3. Step 3: Cross multiply
    597.02x = 899.03 × 444.02
  4. Step 4: Simplify right side
    597.02x = 399,187.30
  5. Step 5: Solve for x
    x = 399,187.30/597.02
  6. Step 6: Final answer
    x = 668.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.