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Finding the Fourth Proportional to 585.88, 873.73 and 538.62

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Solution

The fourth proportional to 585.88, 873.73 and 538.62 is: 803.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.88 : 873.73 = 538.62 : x
  2. Step 2: Convert to fraction form
    585.88/873.73 = 538.62/x
  3. Step 3: Cross multiply
    585.88x = 873.73 × 538.62
  4. Step 4: Simplify right side
    585.88x = 470,608.45
  5. Step 5: Solve for x
    x = 470,608.45/585.88
  6. Step 6: Final answer
    x = 803.25

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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.