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Finding the Fourth Proportional to 591.36, 815.49 and 466.77

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Solution

The fourth proportional to 591.36, 815.49 and 466.77 is: 643.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.36 : 815.49 = 466.77 : x
  2. Step 2: Convert to fraction form
    591.36/815.49 = 466.77/x
  3. Step 3: Cross multiply
    591.36x = 815.49 × 466.77
  4. Step 4: Simplify right side
    591.36x = 380,646.27
  5. Step 5: Solve for x
    x = 380,646.27/591.36
  6. Step 6: Final answer
    x = 643.68

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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.