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Finding the Fourth Proportional to 453.34, 678.48 and 316.06

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Solution

The fourth proportional to 453.34, 678.48 and 316.06 is: 473.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.34 : 678.48 = 316.06 : x
  2. Step 2: Convert to fraction form
    453.34/678.48 = 316.06/x
  3. Step 3: Cross multiply
    453.34x = 678.48 × 316.06
  4. Step 4: Simplify right side
    453.34x = 214,440.39
  5. Step 5: Solve for x
    x = 214,440.39/453.34
  6. Step 6: Final answer
    x = 473.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.