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Finding the Fourth Proportional to 589.32, 812.34 and 414.36

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Solution

The fourth proportional to 589.32, 812.34 and 414.36 is: 571.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.32 : 812.34 = 414.36 : x
  2. Step 2: Convert to fraction form
    589.32/812.34 = 414.36/x
  3. Step 3: Cross multiply
    589.32x = 812.34 × 414.36
  4. Step 4: Simplify right side
    589.32x = 336,601.20
  5. Step 5: Solve for x
    x = 336,601.20/589.32
  6. Step 6: Final answer
    x = 571.17

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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.