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Finding the Fourth Proportional to 458.34, 632.07 and 347.82

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Solution

The fourth proportional to 458.34, 632.07 and 347.82 is: 479.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.34 : 632.07 = 347.82 : x
  2. Step 2: Convert to fraction form
    458.34/632.07 = 347.82/x
  3. Step 3: Cross multiply
    458.34x = 632.07 × 347.82
  4. Step 4: Simplify right side
    458.34x = 219,846.59
  5. Step 5: Solve for x
    x = 219,846.59/458.34
  6. Step 6: Final answer
    x = 479.66

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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.