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Finding the Fourth Proportional to 589.36, 812.56 and 421.51

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Solution

The fourth proportional to 589.36, 812.56 and 421.51 is: 581.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.36 : 812.56 = 421.51 : x
  2. Step 2: Convert to fraction form
    589.36/812.56 = 421.51/x
  3. Step 3: Cross multiply
    589.36x = 812.56 × 421.51
  4. Step 4: Simplify right side
    589.36x = 342,498.10
  5. Step 5: Solve for x
    x = 342,498.10/589.36
  6. Step 6: Final answer
    x = 581.14

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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.