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Finding the Fourth Proportional to 456.96, 632.16 and 379.20

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Solution

The fourth proportional to 456.96, 632.16 and 379.20 is: 524.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.96 : 632.16 = 379.20 : x
  2. Step 2: Convert to fraction form
    456.96/632.16 = 379.20/x
  3. Step 3: Cross multiply
    456.96x = 632.16 × 379.20
  4. Step 4: Simplify right side
    456.96x = 239,715.07
  5. Step 5: Solve for x
    x = 239,715.07/456.96
  6. Step 6: Final answer
    x = 524.59

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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.