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Finding the Fourth Proportional to 589.21, 812.93 and 340.50

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Solution

The fourth proportional to 589.21, 812.93 and 340.50 is: 469.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.21 : 812.93 = 340.50 : x
  2. Step 2: Convert to fraction form
    589.21/812.93 = 340.50/x
  3. Step 3: Cross multiply
    589.21x = 812.93 × 340.50
  4. Step 4: Simplify right side
    589.21x = 276,802.67
  5. Step 5: Solve for x
    x = 276,802.67/589.21
  6. Step 6: Final answer
    x = 469.79

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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.