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Finding the Fourth Proportional to 631.80, 870.35 and 548.37

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Solution

The fourth proportional to 631.80, 870.35 and 548.37 is: 755.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.80 : 870.35 = 548.37 : x
  2. Step 2: Convert to fraction form
    631.80/870.35 = 548.37/x
  3. Step 3: Cross multiply
    631.80x = 870.35 × 548.37
  4. Step 4: Simplify right side
    631.80x = 477,271.09
  5. Step 5: Solve for x
    x = 477,271.09/631.80
  6. Step 6: Final answer
    x = 755.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.