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Finding the Fourth Proportional to 581.63, 802.18 and 360.16

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Solution

The fourth proportional to 581.63, 802.18 and 360.16 is: 496.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.63 : 802.18 = 360.16 : x
  2. Step 2: Convert to fraction form
    581.63/802.18 = 360.16/x
  3. Step 3: Cross multiply
    581.63x = 802.18 × 360.16
  4. Step 4: Simplify right side
    581.63x = 288,912.25
  5. Step 5: Solve for x
    x = 288,912.25/581.63
  6. Step 6: Final answer
    x = 496.73

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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.