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Finding the Fourth Proportional to 457.80, 630.64 and 347.24

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Solution

The fourth proportional to 457.80, 630.64 and 347.24 is: 478.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.80 : 630.64 = 347.24 : x
  2. Step 2: Convert to fraction form
    457.80/630.64 = 347.24/x
  3. Step 3: Cross multiply
    457.80x = 630.64 × 347.24
  4. Step 4: Simplify right side
    457.80x = 218,983.43
  5. Step 5: Solve for x
    x = 218,983.43/457.80
  6. Step 6: Final answer
    x = 478.34

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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.