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Finding the Fourth Proportional to 466.12, 700.53 and 411.45

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Solution

The fourth proportional to 466.12, 700.53 and 411.45 is: 618.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.12 : 700.53 = 411.45 : x
  2. Step 2: Convert to fraction form
    466.12/700.53 = 411.45/x
  3. Step 3: Cross multiply
    466.12x = 700.53 × 411.45
  4. Step 4: Simplify right side
    466.12x = 288,233.07
  5. Step 5: Solve for x
    x = 288,233.07/466.12
  6. Step 6: Final answer
    x = 618.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.