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Finding the Fourth Proportional to 597.03, 894.17 and 289.10

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Solution

The fourth proportional to 597.03, 894.17 and 289.10 is: 432.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.03 : 894.17 = 289.10 : x
  2. Step 2: Convert to fraction form
    597.03/894.17 = 289.10/x
  3. Step 3: Cross multiply
    597.03x = 894.17 × 289.10
  4. Step 4: Simplify right side
    597.03x = 258,504.55
  5. Step 5: Solve for x
    x = 258,504.55/597.03
  6. Step 6: Final answer
    x = 432.98

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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.