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Finding the Fourth Proportional to 581.17, 802.31 and 360.25

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Solution

The fourth proportional to 581.17, 802.31 and 360.25 is: 497.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.17 : 802.31 = 360.25 : x
  2. Step 2: Convert to fraction form
    581.17/802.31 = 360.25/x
  3. Step 3: Cross multiply
    581.17x = 802.31 × 360.25
  4. Step 4: Simplify right side
    581.17x = 289,026.36
  5. Step 5: Solve for x
    x = 289,026.36/581.17
  6. Step 6: Final answer
    x = 497.32

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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.