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Finding the Fourth Proportional to 455.68, 628.53 and 313.81

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Solution

The fourth proportional to 455.68, 628.53 and 313.81 is: 432.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.68 : 628.53 = 313.81 : x
  2. Step 2: Convert to fraction form
    455.68/628.53 = 313.81/x
  3. Step 3: Cross multiply
    455.68x = 628.53 × 313.81
  4. Step 4: Simplify right side
    455.68x = 197,236.25
  5. Step 5: Solve for x
    x = 197,236.25/455.68
  6. Step 6: Final answer
    x = 432.84

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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.