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Finding the Fourth Proportional to 597.16, 894.73 and 289.16

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Solution

The fourth proportional to 597.16, 894.73 and 289.16 is: 433.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.16 : 894.73 = 289.16 : x
  2. Step 2: Convert to fraction form
    597.16/894.73 = 289.16/x
  3. Step 3: Cross multiply
    597.16x = 894.73 × 289.16
  4. Step 4: Simplify right side
    597.16x = 258,720.13
  5. Step 5: Solve for x
    x = 258,720.13/597.16
  6. Step 6: Final answer
    x = 433.25

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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.