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Finding the Fourth Proportional to 581.89, 802.99 and 345.94

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Solution

The fourth proportional to 581.89, 802.99 and 345.94 is: 477.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.89 : 802.99 = 345.94 : x
  2. Step 2: Convert to fraction form
    581.89/802.99 = 345.94/x
  3. Step 3: Cross multiply
    581.89x = 802.99 × 345.94
  4. Step 4: Simplify right side
    581.89x = 277,786.36
  5. Step 5: Solve for x
    x = 277,786.36/581.89
  6. Step 6: Final answer
    x = 477.39

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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.