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Finding the Fourth Proportional to 590.56, 814.98 and 328.60

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Solution

The fourth proportional to 590.56, 814.98 and 328.60 is: 453.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.56 : 814.98 = 328.60 : x
  2. Step 2: Convert to fraction form
    590.56/814.98 = 328.60/x
  3. Step 3: Cross multiply
    590.56x = 814.98 × 328.60
  4. Step 4: Simplify right side
    590.56x = 267,802.43
  5. Step 5: Solve for x
    x = 267,802.43/590.56
  6. Step 6: Final answer
    x = 453.47

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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.