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Finding the Fourth Proportional to 511.60, 706.36 and 456.16

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Solution

The fourth proportional to 511.60, 706.36 and 456.16 is: 629.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.60 : 706.36 = 456.16 : x
  2. Step 2: Convert to fraction form
    511.60/706.36 = 456.16/x
  3. Step 3: Cross multiply
    511.60x = 706.36 × 456.16
  4. Step 4: Simplify right side
    511.60x = 322,213.18
  5. Step 5: Solve for x
    x = 322,213.18/511.60
  6. Step 6: Final answer
    x = 629.81

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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.