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Finding the Fourth Proportional to 515.34, 710.63 and 389.60

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Solution

The fourth proportional to 515.34, 710.63 and 389.60 is: 537.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.34 : 710.63 = 389.60 : x
  2. Step 2: Convert to fraction form
    515.34/710.63 = 389.60/x
  3. Step 3: Cross multiply
    515.34x = 710.63 × 389.60
  4. Step 4: Simplify right side
    515.34x = 276,861.45
  5. Step 5: Solve for x
    x = 276,861.45/515.34
  6. Step 6: Final answer
    x = 537.24

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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.