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Finding the Fourth Proportional to 581.54, 802.19 and 423.96

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Solution

The fourth proportional to 581.54, 802.19 and 423.96 is: 584.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.54 : 802.19 = 423.96 : x
  2. Step 2: Convert to fraction form
    581.54/802.19 = 423.96/x
  3. Step 3: Cross multiply
    581.54x = 802.19 × 423.96
  4. Step 4: Simplify right side
    581.54x = 340,094.35
  5. Step 5: Solve for x
    x = 340,094.35/581.54
  6. Step 6: Final answer
    x = 584.82

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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.