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Finding the Fourth Proportional to 581.85, 802.71 and 361.06

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Solution

The fourth proportional to 581.85, 802.71 and 361.06 is: 498.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.85 : 802.71 = 361.06 : x
  2. Step 2: Convert to fraction form
    581.85/802.71 = 361.06/x
  3. Step 3: Cross multiply
    581.85x = 802.71 × 361.06
  4. Step 4: Simplify right side
    581.85x = 289,824.47
  5. Step 5: Solve for x
    x = 289,824.47/581.85
  6. Step 6: Final answer
    x = 498.11

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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.