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Finding the Fourth Proportional to 586.20, 873.60 and 573.90

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Solution

The fourth proportional to 586.20, 873.60 and 573.90 is: 855.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.20 : 873.60 = 573.90 : x
  2. Step 2: Convert to fraction form
    586.20/873.60 = 573.90/x
  3. Step 3: Cross multiply
    586.20x = 873.60 × 573.90
  4. Step 4: Simplify right side
    586.20x = 501,359.04
  5. Step 5: Solve for x
    x = 501,359.04/586.20
  6. Step 6: Final answer
    x = 855.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.