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Finding the Fourth Proportional to 589.08, 812.24 and 441.46

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Solution

The fourth proportional to 589.08, 812.24 and 441.46 is: 608.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.08 : 812.24 = 441.46 : x
  2. Step 2: Convert to fraction form
    589.08/812.24 = 441.46/x
  3. Step 3: Cross multiply
    589.08x = 812.24 × 441.46
  4. Step 4: Simplify right side
    589.08x = 358,571.47
  5. Step 5: Solve for x
    x = 358,571.47/589.08
  6. Step 6: Final answer
    x = 608.70

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1.5x scale

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.