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Finding the Fourth Proportional to 581.84, 802.94 and 348.96

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Solution

The fourth proportional to 581.84, 802.94 and 348.96 is: 481.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.84 : 802.94 = 348.96 : x
  2. Step 2: Convert to fraction form
    581.84/802.94 = 348.96/x
  3. Step 3: Cross multiply
    581.84x = 802.94 × 348.96
  4. Step 4: Simplify right side
    581.84x = 280,192.20
  5. Step 5: Solve for x
    x = 280,192.20/581.84
  6. Step 6: Final answer
    x = 481.57

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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.