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Finding the Fourth Proportional to 456.16, 629.76 and 314.58

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Solution

The fourth proportional to 456.16, 629.76 and 314.58 is: 434.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.16 : 629.76 = 314.58 : x
  2. Step 2: Convert to fraction form
    456.16/629.76 = 314.58/x
  3. Step 3: Cross multiply
    456.16x = 629.76 × 314.58
  4. Step 4: Simplify right side
    456.16x = 198,109.90
  5. Step 5: Solve for x
    x = 198,109.90/456.16
  6. Step 6: Final answer
    x = 434.30

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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.