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Finding the Fourth Proportional to 485.52, 670.08 and 345.78

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Solution

The fourth proportional to 485.52, 670.08 and 345.78 is: 477.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.52 : 670.08 = 345.78 : x
  2. Step 2: Convert to fraction form
    485.52/670.08 = 345.78/x
  3. Step 3: Cross multiply
    485.52x = 670.08 × 345.78
  4. Step 4: Simplify right side
    485.52x = 231,700.26
  5. Step 5: Solve for x
    x = 231,700.26/485.52
  6. Step 6: Final answer
    x = 477.22

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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.