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Finding the Fourth Proportional to 515.46, 770.93 and 461.06

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Solution

The fourth proportional to 515.46, 770.93 and 461.06 is: 689.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.46 : 770.93 = 461.06 : x
  2. Step 2: Convert to fraction form
    515.46/770.93 = 461.06/x
  3. Step 3: Cross multiply
    515.46x = 770.93 × 461.06
  4. Step 4: Simplify right side
    515.46x = 355,444.99
  5. Step 5: Solve for x
    x = 355,444.99/515.46
  6. Step 6: Final answer
    x = 689.57

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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.