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Finding the Fourth Proportional to 589.48, 813.21 and 500.59

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Solution

The fourth proportional to 589.48, 813.21 and 500.59 is: 690.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.48 : 813.21 = 500.59 : x
  2. Step 2: Convert to fraction form
    589.48/813.21 = 500.59/x
  3. Step 3: Cross multiply
    589.48x = 813.21 × 500.59
  4. Step 4: Simplify right side
    589.48x = 407,084.79
  5. Step 5: Solve for x
    x = 407,084.79/589.48
  6. Step 6: Final answer
    x = 690.58

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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.