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Finding the Fourth Proportional to 571.04, 788.63 and 396.08

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Solution

The fourth proportional to 571.04, 788.63 and 396.08 is: 547.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.04 : 788.63 = 396.08 : x
  2. Step 2: Convert to fraction form
    571.04/788.63 = 396.08/x
  3. Step 3: Cross multiply
    571.04x = 788.63 × 396.08
  4. Step 4: Simplify right side
    571.04x = 312,354.65
  5. Step 5: Solve for x
    x = 312,354.65/571.04
  6. Step 6: Final answer
    x = 547.00

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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.