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Finding the Fourth Proportional to 466.09, 695.67 and 411.42

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Solution

The fourth proportional to 466.09, 695.67 and 411.42 is: 614.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.09 : 695.67 = 411.42 : x
  2. Step 2: Convert to fraction form
    466.09/695.67 = 411.42/x
  3. Step 3: Cross multiply
    466.09x = 695.67 × 411.42
  4. Step 4: Simplify right side
    466.09x = 286,212.55
  5. Step 5: Solve for x
    x = 286,212.55/466.09
  6. Step 6: Final answer
    x = 614.07

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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.