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Finding the Fourth Proportional to 589.07, 883.40 and 178.07

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Solution

The fourth proportional to 589.07, 883.40 and 178.07 is: 267.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.07 : 883.40 = 178.07 : x
  2. Step 2: Convert to fraction form
    589.07/883.40 = 178.07/x
  3. Step 3: Cross multiply
    589.07x = 883.40 × 178.07
  4. Step 4: Simplify right side
    589.07x = 157,303.07
  5. Step 5: Solve for x
    x = 157,303.07/589.07
  6. Step 6: Final answer
    x = 267.04

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Why These Related Problems?

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