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Finding the Fourth Proportional to 581.71, 802.14 and 492.85

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Solution

The fourth proportional to 581.71, 802.14 and 492.85 is: 679.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.71 : 802.14 = 492.85 : x
  2. Step 2: Convert to fraction form
    581.71/802.14 = 492.85/x
  3. Step 3: Cross multiply
    581.71x = 802.14 × 492.85
  4. Step 4: Simplify right side
    581.71x = 395,334.70
  5. Step 5: Solve for x
    x = 395,334.70/581.71
  6. Step 6: Final answer
    x = 679.61

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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.