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Finding the Fourth Proportional to 581.37, 802.16 and 345.28

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Solution

The fourth proportional to 581.37, 802.16 and 345.28 is: 476.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.37 : 802.16 = 345.28 : x
  2. Step 2: Convert to fraction form
    581.37/802.16 = 345.28/x
  3. Step 3: Cross multiply
    581.37x = 802.16 × 345.28
  4. Step 4: Simplify right side
    581.37x = 276,971.67
  5. Step 5: Solve for x
    x = 276,971.67/581.37
  6. Step 6: Final answer
    x = 476.42

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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.