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Finding the Fourth Proportional to 589.52, 883.08 and 345.32

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Solution

The fourth proportional to 589.52, 883.08 and 345.32 is: 517.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.52 : 883.08 = 345.32 : x
  2. Step 2: Convert to fraction form
    589.52/883.08 = 345.32/x
  3. Step 3: Cross multiply
    589.52x = 883.08 × 345.32
  4. Step 4: Simplify right side
    589.52x = 304,945.19
  5. Step 5: Solve for x
    x = 304,945.19/589.52
  6. Step 6: Final answer
    x = 517.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.