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Finding the Fourth Proportional to 457.84, 632.04 and 347.38

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Solution

The fourth proportional to 457.84, 632.04 and 347.38 is: 479.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.84 : 632.04 = 347.38 : x
  2. Step 2: Convert to fraction form
    457.84/632.04 = 347.38/x
  3. Step 3: Cross multiply
    457.84x = 632.04 × 347.38
  4. Step 4: Simplify right side
    457.84x = 219,558.06
  5. Step 5: Solve for x
    x = 219,558.06/457.84
  6. Step 6: Final answer
    x = 479.55

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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.