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Finding the Fourth Proportional to 581.67, 802.71 and 345.63

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Solution

The fourth proportional to 581.67, 802.71 and 345.63 is: 476.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.67 : 802.71 = 345.63 : x
  2. Step 2: Convert to fraction form
    581.67/802.71 = 345.63/x
  3. Step 3: Cross multiply
    581.67x = 802.71 × 345.63
  4. Step 4: Simplify right side
    581.67x = 277,440.66
  5. Step 5: Solve for x
    x = 277,440.66/581.67
  6. Step 6: Final answer
    x = 476.97

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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.