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Finding the Fourth Proportional to 589.48, 883.74 and 361

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Solution

The fourth proportional to 589.48, 883.74 and 361 is: 541.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.48 : 883.74 = 361 : x
  2. Step 2: Convert to fraction form
    589.48/883.74 = 361/x
  3. Step 3: Cross multiply
    589.48x = 883.74 × 361
  4. Step 4: Simplify right side
    589.48x = 319,030.14
  5. Step 5: Solve for x
    x = 319,030.14/589.48
  6. Step 6: Final answer
    x = 541.21

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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.