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Finding the Fourth Proportional to 597.10, 894.74 and 250.22

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Solution

The fourth proportional to 597.10, 894.74 and 250.22 is: 374.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.10 : 894.74 = 250.22 : x
  2. Step 2: Convert to fraction form
    597.10/894.74 = 250.22/x
  3. Step 3: Cross multiply
    597.10x = 894.74 × 250.22
  4. Step 4: Simplify right side
    597.10x = 223,881.84
  5. Step 5: Solve for x
    x = 223,881.84/597.10
  6. Step 6: Final answer
    x = 374.95

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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.