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Finding the Fourth Proportional to 581.20, 802.20 and 382.30

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Solution

The fourth proportional to 581.20, 802.20 and 382.30 is: 527.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.20 : 802.20 = 382.30 : x
  2. Step 2: Convert to fraction form
    581.20/802.20 = 382.30/x
  3. Step 3: Cross multiply
    581.20x = 802.20 × 382.30
  4. Step 4: Simplify right side
    581.20x = 306,681.06
  5. Step 5: Solve for x
    x = 306,681.06/581.20
  6. Step 6: Final answer
    x = 527.67

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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.