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Finding the Fourth Proportional to 581.73, 870.71 and 444.03

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Solution

The fourth proportional to 581.73, 870.71 and 444.03 is: 664.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.73 : 870.71 = 444.03 : x
  2. Step 2: Convert to fraction form
    581.73/870.71 = 444.03/x
  3. Step 3: Cross multiply
    581.73x = 870.71 × 444.03
  4. Step 4: Simplify right side
    581.73x = 386,619.14
  5. Step 5: Solve for x
    x = 386,619.14/581.73
  6. Step 6: Final answer
    x = 664.60

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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.