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Finding the Fourth Proportional to 581.48, 802.19 and 492.58

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Solution

The fourth proportional to 581.48, 802.19 and 492.58 is: 679.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.48 : 802.19 = 492.58 : x
  2. Step 2: Convert to fraction form
    581.48/802.19 = 492.58/x
  3. Step 3: Cross multiply
    581.48x = 802.19 × 492.58
  4. Step 4: Simplify right side
    581.48x = 395,136.28
  5. Step 5: Solve for x
    x = 395,136.28/581.48
  6. Step 6: Final answer
    x = 679.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.