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Finding the Fourth Proportional to 589.53, 884.70 and 468.57

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Solution

The fourth proportional to 589.53, 884.70 and 468.57 is: 703.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.53 : 884.70 = 468.57 : x
  2. Step 2: Convert to fraction form
    589.53/884.70 = 468.57/x
  3. Step 3: Cross multiply
    589.53x = 884.70 × 468.57
  4. Step 4: Simplify right side
    589.53x = 414,543.88
  5. Step 5: Solve for x
    x = 414,543.88/589.53
  6. Step 6: Final answer
    x = 703.18

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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.