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Finding the Fourth Proportional to 581.99, 802.91 and 385.43

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Solution

The fourth proportional to 581.99, 802.91 and 385.43 is: 531.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.99 : 802.91 = 385.43 : x
  2. Step 2: Convert to fraction form
    581.99/802.91 = 385.43/x
  3. Step 3: Cross multiply
    581.99x = 802.91 × 385.43
  4. Step 4: Simplify right side
    581.99x = 309,462.55
  5. Step 5: Solve for x
    x = 309,462.55/581.99
  6. Step 6: Final answer
    x = 531.74

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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.