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Finding the Fourth Proportional to 589.13, 812.99 and 414.84

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Solution

The fourth proportional to 589.13, 812.99 and 414.84 is: 572.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.13 : 812.99 = 414.84 : x
  2. Step 2: Convert to fraction form
    589.13/812.99 = 414.84/x
  3. Step 3: Cross multiply
    589.13x = 812.99 × 414.84
  4. Step 4: Simplify right side
    589.13x = 337,261.81
  5. Step 5: Solve for x
    x = 337,261.81/589.13
  6. Step 6: Final answer
    x = 572.48

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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.