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Finding the Fourth Proportional to 515.42, 711.29 and 305.70

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Solution

The fourth proportional to 515.42, 711.29 and 305.70 is: 421.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.42 : 711.29 = 305.70 : x
  2. Step 2: Convert to fraction form
    515.42/711.29 = 305.70/x
  3. Step 3: Cross multiply
    515.42x = 711.29 × 305.70
  4. Step 4: Simplify right side
    515.42x = 217,442.49
  5. Step 5: Solve for x
    x = 217,442.49/515.42
  6. Step 6: Final answer
    x = 421.87

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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.