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Finding the Fourth Proportional to 480.12, 716.07 and 411

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Solution

The fourth proportional to 480.12, 716.07 and 411 is: 612.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.12 : 716.07 = 411 : x
  2. Step 2: Convert to fraction form
    480.12/716.07 = 411/x
  3. Step 3: Cross multiply
    480.12x = 716.07 × 411
  4. Step 4: Simplify right side
    480.12x = 294,304.77
  5. Step 5: Solve for x
    x = 294,304.77/480.12
  6. Step 6: Final answer
    x = 612.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.