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Finding the Fourth Proportional to 486.17, 670.62 and 360.01

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Solution

The fourth proportional to 486.17, 670.62 and 360.01 is: 496.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.17 : 670.62 = 360.01 : x
  2. Step 2: Convert to fraction form
    486.17/670.62 = 360.01/x
  3. Step 3: Cross multiply
    486.17x = 670.62 × 360.01
  4. Step 4: Simplify right side
    486.17x = 241,429.91
  5. Step 5: Solve for x
    x = 241,429.91/486.17
  6. Step 6: Final answer
    x = 496.60

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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.