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Finding the Fourth Proportional to 453.05, 624.95 and 312.92

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Solution

The fourth proportional to 453.05, 624.95 and 312.92 is: 431.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.05 : 624.95 = 312.92 : x
  2. Step 2: Convert to fraction form
    453.05/624.95 = 312.92/x
  3. Step 3: Cross multiply
    453.05x = 624.95 × 312.92
  4. Step 4: Simplify right side
    453.05x = 195,554.66
  5. Step 5: Solve for x
    x = 195,554.66/453.05
  6. Step 6: Final answer
    x = 431.65

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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.