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Finding the Fourth Proportional to 589.33, 883.54 and 342.15

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Solution

The fourth proportional to 589.33, 883.54 and 342.15 is: 512.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.33 : 883.54 = 342.15 : x
  2. Step 2: Convert to fraction form
    589.33/883.54 = 342.15/x
  3. Step 3: Cross multiply
    589.33x = 883.54 × 342.15
  4. Step 4: Simplify right side
    589.33x = 302,301.50
  5. Step 5: Solve for x
    x = 302,301.50/589.33
  6. Step 6: Final answer
    x = 512.96

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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.