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Finding the Fourth Proportional to 589.84, 814.56 and 500.50

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Solution

The fourth proportional to 589.84, 814.56 and 500.50 is: 691.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.84 : 814.56 = 500.50 : x
  2. Step 2: Convert to fraction form
    589.84/814.56 = 500.50/x
  3. Step 3: Cross multiply
    589.84x = 814.56 × 500.50
  4. Step 4: Simplify right side
    589.84x = 407,687.28
  5. Step 5: Solve for x
    x = 407,687.28/589.84
  6. Step 6: Final answer
    x = 691.18

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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.