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Finding the Fourth Proportional to 515.16, 710.64 and 318.33

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Solution

The fourth proportional to 515.16, 710.64 and 318.33 is: 439.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.16 : 710.64 = 318.33 : x
  2. Step 2: Convert to fraction form
    515.16/710.64 = 318.33/x
  3. Step 3: Cross multiply
    515.16x = 710.64 × 318.33
  4. Step 4: Simplify right side
    515.16x = 226,218.03
  5. Step 5: Solve for x
    x = 226,218.03/515.16
  6. Step 6: Final answer
    x = 439.12

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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.