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Finding the Fourth Proportional to 515.67, 712.73 and 456.23

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Solution

The fourth proportional to 515.67, 712.73 and 456.23 is: 630.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.67 : 712.73 = 456.23 : x
  2. Step 2: Convert to fraction form
    515.67/712.73 = 456.23/x
  3. Step 3: Cross multiply
    515.67x = 712.73 × 456.23
  4. Step 4: Simplify right side
    515.67x = 325,168.81
  5. Step 5: Solve for x
    x = 325,168.81/515.67
  6. Step 6: Final answer
    x = 630.58

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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.