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Finding the Fourth Proportional to 514.96, 710.56 and 328.60

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Solution

The fourth proportional to 514.96, 710.56 and 328.60 is: 453.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.96 : 710.56 = 328.60 : x
  2. Step 2: Convert to fraction form
    514.96/710.56 = 328.60/x
  3. Step 3: Cross multiply
    514.96x = 710.56 × 328.60
  4. Step 4: Simplify right side
    514.96x = 233,491.31
  5. Step 5: Solve for x
    x = 233,491.31/514.96
  6. Step 6: Final answer
    x = 453.42

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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.