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Finding the Fourth Proportional to 590.58, 884.82 and 316.38

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Solution

The fourth proportional to 590.58, 884.82 and 316.38 is: 474.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.58 : 884.82 = 316.38 : x
  2. Step 2: Convert to fraction form
    590.58/884.82 = 316.38/x
  3. Step 3: Cross multiply
    590.58x = 884.82 × 316.38
  4. Step 4: Simplify right side
    590.58x = 279,939.35
  5. Step 5: Solve for x
    x = 279,939.35/590.58
  6. Step 6: Final answer
    x = 474.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.