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Finding the Fourth Proportional to 653.83, 901.34 and 456.73

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Solution

The fourth proportional to 653.83, 901.34 and 456.73 is: 629.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.83 : 901.34 = 456.73 : x
  2. Step 2: Convert to fraction form
    653.83/901.34 = 456.73/x
  3. Step 3: Cross multiply
    653.83x = 901.34 × 456.73
  4. Step 4: Simplify right side
    653.83x = 411,666.73
  5. Step 5: Solve for x
    x = 411,666.73/653.83
  6. Step 6: Final answer
    x = 629.62

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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.