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Finding the Fourth Proportional to 581.72, 802.53 and 492.83

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Solution

The fourth proportional to 581.72, 802.53 and 492.83 is: 679.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.72 : 802.53 = 492.83 : x
  2. Step 2: Convert to fraction form
    581.72/802.53 = 492.83/x
  3. Step 3: Cross multiply
    581.72x = 802.53 × 492.83
  4. Step 4: Simplify right side
    581.72x = 395,506.85
  5. Step 5: Solve for x
    x = 395,506.85/581.72
  6. Step 6: Final answer
    x = 679.89

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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.