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Finding the Fourth Proportional to 589.21, 812.27 and 414.01

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Solution

The fourth proportional to 589.21, 812.27 and 414.01 is: 570.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.21 : 812.27 = 414.01 : x
  2. Step 2: Convert to fraction form
    589.21/812.27 = 414.01/x
  3. Step 3: Cross multiply
    589.21x = 812.27 × 414.01
  4. Step 4: Simplify right side
    589.21x = 336,285.83
  5. Step 5: Solve for x
    x = 336,285.83/589.21
  6. Step 6: Final answer
    x = 570.74

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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.