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Finding the Fourth Proportional to 591.45, 816.14 and 451.66

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Solution

The fourth proportional to 591.45, 816.14 and 451.66 is: 623.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.45 : 816.14 = 451.66 : x
  2. Step 2: Convert to fraction form
    591.45/816.14 = 451.66/x
  3. Step 3: Cross multiply
    591.45x = 816.14 × 451.66
  4. Step 4: Simplify right side
    591.45x = 368,617.79
  5. Step 5: Solve for x
    x = 368,617.79/591.45
  6. Step 6: Final answer
    x = 623.24

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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.