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Finding the Fourth Proportional to 597.10, 893.34 and 514.18

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Solution

The fourth proportional to 597.10, 893.34 and 514.18 is: 769.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.10 : 893.34 = 514.18 : x
  2. Step 2: Convert to fraction form
    597.10/893.34 = 514.18/x
  3. Step 3: Cross multiply
    597.10x = 893.34 × 514.18
  4. Step 4: Simplify right side
    597.10x = 459,337.56
  5. Step 5: Solve for x
    x = 459,337.56/597.10
  6. Step 6: Final answer
    x = 769.28

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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.