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Finding the Fourth Proportional to 705.11, 972.53 and 456.24

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Solution

The fourth proportional to 705.11, 972.53 and 456.24 is: 629.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.11 : 972.53 = 456.24 : x
  2. Step 2: Convert to fraction form
    705.11/972.53 = 456.24/x
  3. Step 3: Cross multiply
    705.11x = 972.53 × 456.24
  4. Step 4: Simplify right side
    705.11x = 443,707.09
  5. Step 5: Solve for x
    x = 443,707.09/705.11
  6. Step 6: Final answer
    x = 629.27

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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.