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Finding the Fourth Proportional to 515.78, 711.03 and 340.82

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Solution

The fourth proportional to 515.78, 711.03 and 340.82 is: 469.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.78 : 711.03 = 340.82 : x
  2. Step 2: Convert to fraction form
    515.78/711.03 = 340.82/x
  3. Step 3: Cross multiply
    515.78x = 711.03 × 340.82
  4. Step 4: Simplify right side
    515.78x = 242,333.24
  5. Step 5: Solve for x
    x = 242,333.24/515.78
  6. Step 6: Final answer
    x = 469.84

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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.