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Finding the Fourth Proportional to 589.02, 812.91 and 340.42

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Solution

The fourth proportional to 589.02, 812.91 and 340.42 is: 469.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.02 : 812.91 = 340.42 : x
  2. Step 2: Convert to fraction form
    589.02/812.91 = 340.42/x
  3. Step 3: Cross multiply
    589.02x = 812.91 × 340.42
  4. Step 4: Simplify right side
    589.02x = 276,730.82
  5. Step 5: Solve for x
    x = 276,730.82/589.02
  6. Step 6: Final answer
    x = 469.82

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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.