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Finding the Fourth Proportional to 581.10, 802.37 and 382.07

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Solution

The fourth proportional to 581.10, 802.37 and 382.07 is: 527.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.10 : 802.37 = 382.07 : x
  2. Step 2: Convert to fraction form
    581.10/802.37 = 382.07/x
  3. Step 3: Cross multiply
    581.10x = 802.37 × 382.07
  4. Step 4: Simplify right side
    581.10x = 306,555.58
  5. Step 5: Solve for x
    x = 306,555.58/581.10
  6. Step 6: Final answer
    x = 527.54

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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.