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Finding the Fourth Proportional to 589.11, 811.12 and 500.40

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Solution

The fourth proportional to 589.11, 811.12 and 500.40 is: 688.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.11 : 811.12 = 500.40 : x
  2. Step 2: Convert to fraction form
    589.11/811.12 = 500.40/x
  3. Step 3: Cross multiply
    589.11x = 811.12 × 500.40
  4. Step 4: Simplify right side
    589.11x = 405,884.45
  5. Step 5: Solve for x
    x = 405,884.45/589.11
  6. Step 6: Final answer
    x = 688.98

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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.