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Finding the Fourth Proportional to 486.48, 670.84 and 416.77

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Solution

The fourth proportional to 486.48, 670.84 and 416.77 is: 574.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.48 : 670.84 = 416.77 : x
  2. Step 2: Convert to fraction form
    486.48/670.84 = 416.77/x
  3. Step 3: Cross multiply
    486.48x = 670.84 × 416.77
  4. Step 4: Simplify right side
    486.48x = 279,585.99
  5. Step 5: Solve for x
    x = 279,585.99/486.48
  6. Step 6: Final answer
    x = 574.71

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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.