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Finding the Fourth Proportional to 581.08, 802.24 and 382.23

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Solution

The fourth proportional to 581.08, 802.24 and 382.23 is: 527.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.08 : 802.24 = 382.23 : x
  2. Step 2: Convert to fraction form
    581.08/802.24 = 382.23/x
  3. Step 3: Cross multiply
    581.08x = 802.24 × 382.23
  4. Step 4: Simplify right side
    581.08x = 306,637.14
  5. Step 5: Solve for x
    x = 306,637.14/581.08
  6. Step 6: Final answer
    x = 527.70

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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.