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Finding the Fourth Proportional to 590.79, 815.25 and 328.82

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Solution

The fourth proportional to 590.79, 815.25 and 328.82 is: 453.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.79 : 815.25 = 328.82 : x
  2. Step 2: Convert to fraction form
    590.79/815.25 = 328.82/x
  3. Step 3: Cross multiply
    590.79x = 815.25 × 328.82
  4. Step 4: Simplify right side
    590.79x = 268,066.43
  5. Step 5: Solve for x
    x = 268,066.43/590.79
  6. Step 6: Final answer
    x = 453.74

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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.