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Finding the Fourth Proportional to 485.99, 670.16 and 416.27

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Solution

The fourth proportional to 485.99, 670.16 and 416.27 is: 574.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.99 : 670.16 = 416.27 : x
  2. Step 2: Convert to fraction form
    485.99/670.16 = 416.27/x
  3. Step 3: Cross multiply
    485.99x = 670.16 × 416.27
  4. Step 4: Simplify right side
    485.99x = 278,962.07
  5. Step 5: Solve for x
    x = 278,962.07/485.99
  6. Step 6: Final answer
    x = 574.01

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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.