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Finding the Fourth Proportional to 589.40, 883.95 and 242.84

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Solution

The fourth proportional to 589.40, 883.95 and 242.84 is: 364.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.40 : 883.95 = 242.84 : x
  2. Step 2: Convert to fraction form
    589.40/883.95 = 242.84/x
  3. Step 3: Cross multiply
    589.40x = 883.95 × 242.84
  4. Step 4: Simplify right side
    589.40x = 214,654.00
  5. Step 5: Solve for x
    x = 214,654.00/589.40
  6. Step 6: Final answer
    x = 364.19

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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.