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Finding the Fourth Proportional to 589.10, 812.85 and 441.42

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Solution

The fourth proportional to 589.10, 812.85 and 441.42 is: 609.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.10 : 812.85 = 441.42 : x
  2. Step 2: Convert to fraction form
    589.10/812.85 = 441.42/x
  3. Step 3: Cross multiply
    589.10x = 812.85 × 441.42
  4. Step 4: Simplify right side
    589.10x = 358,808.25
  5. Step 5: Solve for x
    x = 358,808.25/589.10
  6. Step 6: Final answer
    x = 609.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.