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Finding the Fourth Proportional to 569.08, 785.16 and 332.97

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Solution

The fourth proportional to 569.08, 785.16 and 332.97 is: 459.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.08 : 785.16 = 332.97 : x
  2. Step 2: Convert to fraction form
    569.08/785.16 = 332.97/x
  3. Step 3: Cross multiply
    569.08x = 785.16 × 332.97
  4. Step 4: Simplify right side
    569.08x = 261,434.01
  5. Step 5: Solve for x
    x = 261,434.01/569.08
  6. Step 6: Final answer
    x = 459.40

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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.