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Finding the Fourth Proportional to 514.56, 772.56 and 322.32

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Solution

The fourth proportional to 514.56, 772.56 and 322.32 is: 483.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.56 : 772.56 = 322.32 : x
  2. Step 2: Convert to fraction form
    514.56/772.56 = 322.32/x
  3. Step 3: Cross multiply
    514.56x = 772.56 × 322.32
  4. Step 4: Simplify right side
    514.56x = 249,011.54
  5. Step 5: Solve for x
    x = 249,011.54/514.56
  6. Step 6: Final answer
    x = 483.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.