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Finding the Fourth Proportional to 589.24, 811.30 and 500.54

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Solution

The fourth proportional to 589.24, 811.30 and 500.54 is: 689.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.24 : 811.30 = 500.54 : x
  2. Step 2: Convert to fraction form
    589.24/811.30 = 500.54/x
  3. Step 3: Cross multiply
    589.24x = 811.30 × 500.54
  4. Step 4: Simplify right side
    589.24x = 406,082.79
  5. Step 5: Solve for x
    x = 406,082.79/589.24
  6. Step 6: Final answer
    x = 689.17

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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.