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Finding the Fourth Proportional to 457.81, 632.33 and 352.15

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Solution

The fourth proportional to 457.81, 632.33 and 352.15 is: 486.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.81 : 632.33 = 352.15 : x
  2. Step 2: Convert to fraction form
    457.81/632.33 = 352.15/x
  3. Step 3: Cross multiply
    457.81x = 632.33 × 352.15
  4. Step 4: Simplify right side
    457.81x = 222,673.25
  5. Step 5: Solve for x
    x = 222,673.25/457.81
  6. Step 6: Final answer
    x = 486.39

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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.