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Finding the Fourth Proportional to 589.02, 812.58 and 367.86

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Solution

The fourth proportional to 589.02, 812.58 and 367.86 is: 507.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.02 : 812.58 = 367.86 : x
  2. Step 2: Convert to fraction form
    589.02/812.58 = 367.86/x
  3. Step 3: Cross multiply
    589.02x = 812.58 × 367.86
  4. Step 4: Simplify right side
    589.02x = 298,915.68
  5. Step 5: Solve for x
    x = 298,915.68/589.02
  6. Step 6: Final answer
    x = 507.48

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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.