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Finding the Fourth Proportional to 1,530.88, 2,296.31 and 376.63

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Solution

The fourth proportional to 1,530.88, 2,296.31 and 376.63 is: 564.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.88 : 2,296.31 = 376.63 : x
  2. Step 2: Convert to fraction form
    1,530.88/2,296.31 = 376.63/x
  3. Step 3: Cross multiply
    1,530.88x = 2,296.31 × 376.63
  4. Step 4: Simplify right side
    1,530.88x = 864,859.24
  5. Step 5: Solve for x
    x = 864,859.24/1,530.88
  6. Step 6: Final answer
    x = 564.94

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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.