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Finding the Fourth Proportional to 581.79, 802.28 and 385.23

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Solution

The fourth proportional to 581.79, 802.28 and 385.23 is: 531.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.79 : 802.28 = 385.23 : x
  2. Step 2: Convert to fraction form
    581.79/802.28 = 385.23/x
  3. Step 3: Cross multiply
    581.79x = 802.28 × 385.23
  4. Step 4: Simplify right side
    581.79x = 309,060.40
  5. Step 5: Solve for x
    x = 309,060.40/581.79
  6. Step 6: Final answer
    x = 531.22

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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.