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Finding the Fourth Proportional to 571.02, 788.10 and 322.35

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Solution

The fourth proportional to 571.02, 788.10 and 322.35 is: 444.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.02 : 788.10 = 322.35 : x
  2. Step 2: Convert to fraction form
    571.02/788.10 = 322.35/x
  3. Step 3: Cross multiply
    571.02x = 788.10 × 322.35
  4. Step 4: Simplify right side
    571.02x = 254,039.87
  5. Step 5: Solve for x
    x = 254,039.87/571.02
  6. Step 6: Final answer
    x = 444.89

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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.