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Finding the Fourth Proportional to 582.40, 873.28 and 289.25

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Solution

The fourth proportional to 582.40, 873.28 and 289.25 is: 433.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.40 : 873.28 = 289.25 : x
  2. Step 2: Convert to fraction form
    582.40/873.28 = 289.25/x
  3. Step 3: Cross multiply
    582.40x = 873.28 × 289.25
  4. Step 4: Simplify right side
    582.40x = 252,597.70
  5. Step 5: Solve for x
    x = 252,597.70/582.40
  6. Step 6: Final answer
    x = 433.72

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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.