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Finding the Fourth Proportional to 590.69, 883.91 and 359.64

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Solution

The fourth proportional to 590.69, 883.91 and 359.64 is: 538.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.69 : 883.91 = 359.64 : x
  2. Step 2: Convert to fraction form
    590.69/883.91 = 359.64/x
  3. Step 3: Cross multiply
    590.69x = 883.91 × 359.64
  4. Step 4: Simplify right side
    590.69x = 317,890.29
  5. Step 5: Solve for x
    x = 317,890.29/590.69
  6. Step 6: Final answer
    x = 538.17

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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.