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Finding the Fourth Proportional to 514.74, 710.21 and 318.35

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Solution

The fourth proportional to 514.74, 710.21 and 318.35 is: 439.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.74 : 710.21 = 318.35 : x
  2. Step 2: Convert to fraction form
    514.74/710.21 = 318.35/x
  3. Step 3: Cross multiply
    514.74x = 710.21 × 318.35
  4. Step 4: Simplify right side
    514.74x = 226,090.21
  5. Step 5: Solve for x
    x = 226,090.21/514.74
  6. Step 6: Final answer
    x = 439.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.