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Finding the Fourth Proportional to 514.96, 710.13 and 439.72

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Solution

The fourth proportional to 514.96, 710.13 and 439.72 is: 606.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.96 : 710.13 = 439.72 : x
  2. Step 2: Convert to fraction form
    514.96/710.13 = 439.72/x
  3. Step 3: Cross multiply
    514.96x = 710.13 × 439.72
  4. Step 4: Simplify right side
    514.96x = 312,258.36
  5. Step 5: Solve for x
    x = 312,258.36/514.96
  6. Step 6: Final answer
    x = 606.37

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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.