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Finding the Fourth Proportional to 1,404.31, 2,106.46 and 364.31

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Solution

The fourth proportional to 1,404.31, 2,106.46 and 364.31 is: 546.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.31 : 2,106.46 = 364.31 : x
  2. Step 2: Convert to fraction form
    1,404.31/2,106.46 = 364.31/x
  3. Step 3: Cross multiply
    1,404.31x = 2,106.46 × 364.31
  4. Step 4: Simplify right side
    1,404.31x = 767,412.80
  5. Step 5: Solve for x
    x = 767,412.80/1,404.31
  6. Step 6: Final answer
    x = 546.47

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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.