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Finding the Fourth Proportional to 571.02, 788.08 and 322.40

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Solution

The fourth proportional to 571.02, 788.08 and 322.40 is: 444.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.02 : 788.08 = 322.40 : x
  2. Step 2: Convert to fraction form
    571.02/788.08 = 322.40/x
  3. Step 3: Cross multiply
    571.02x = 788.08 × 322.40
  4. Step 4: Simplify right side
    571.02x = 254,074.33
  5. Step 5: Solve for x
    x = 254,074.33/571.02
  6. Step 6: Final answer
    x = 444.95

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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.