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Finding the Fourth Proportional to 1,477.40, 2,216.30 and 437.48

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Solution

The fourth proportional to 1,477.40, 2,216.30 and 437.48 is: 656.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.40 : 2,216.30 = 437.48 : x
  2. Step 2: Convert to fraction form
    1,477.40/2,216.30 = 437.48/x
  3. Step 3: Cross multiply
    1,477.40x = 2,216.30 × 437.48
  4. Step 4: Simplify right side
    1,477.40x = 969,584.74
  5. Step 5: Solve for x
    x = 969,584.74/1,477.40
  6. Step 6: Final answer
    x = 656.28

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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.