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Finding the Fourth Proportional to 500.23, 690.47 and 325.59

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Solution

The fourth proportional to 500.23, 690.47 and 325.59 is: 449.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.23 : 690.47 = 325.59 : x
  2. Step 2: Convert to fraction form
    500.23/690.47 = 325.59/x
  3. Step 3: Cross multiply
    500.23x = 690.47 × 325.59
  4. Step 4: Simplify right side
    500.23x = 224,810.13
  5. Step 5: Solve for x
    x = 224,810.13/500.23
  6. Step 6: Final answer
    x = 449.41

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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.