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Finding the Fourth Proportional to 590.51, 814.86 and 328.52

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Solution

The fourth proportional to 590.51, 814.86 and 328.52 is: 453.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.51 : 814.86 = 328.52 : x
  2. Step 2: Convert to fraction form
    590.51/814.86 = 328.52/x
  3. Step 3: Cross multiply
    590.51x = 814.86 × 328.52
  4. Step 4: Simplify right side
    590.51x = 267,699.84
  5. Step 5: Solve for x
    x = 267,699.84/590.51
  6. Step 6: Final answer
    x = 453.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.