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Finding the Fourth Proportional to 589.23, 812.93 and 414.81

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Solution

The fourth proportional to 589.23, 812.93 and 414.81 is: 572.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.23 : 812.93 = 414.81 : x
  2. Step 2: Convert to fraction form
    589.23/812.93 = 414.81/x
  3. Step 3: Cross multiply
    589.23x = 812.93 × 414.81
  4. Step 4: Simplify right side
    589.23x = 337,209.42
  5. Step 5: Solve for x
    x = 337,209.42/589.23
  6. Step 6: Final answer
    x = 572.29

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