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Finding the Fourth Proportional to 581.09, 802.04 and 359.91

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Solution

The fourth proportional to 581.09, 802.04 and 359.91 is: 496.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.09 : 802.04 = 359.91 : x
  2. Step 2: Convert to fraction form
    581.09/802.04 = 359.91/x
  3. Step 3: Cross multiply
    581.09x = 802.04 × 359.91
  4. Step 4: Simplify right side
    581.09x = 288,663.12
  5. Step 5: Solve for x
    x = 288,663.12/581.09
  6. Step 6: Final answer
    x = 496.77

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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.