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Finding the Fourth Proportional to 571.48, 788.63 and 322.77

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Solution

The fourth proportional to 571.48, 788.63 and 322.77 is: 445.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.48 : 788.63 = 322.77 : x
  2. Step 2: Convert to fraction form
    571.48/788.63 = 322.77/x
  3. Step 3: Cross multiply
    571.48x = 788.63 × 322.77
  4. Step 4: Simplify right side
    571.48x = 254,546.11
  5. Step 5: Solve for x
    x = 254,546.11/571.48
  6. Step 6: Final answer
    x = 445.42

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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.