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Finding the Fourth Proportional to 537.12, 801.78 and 455.20

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Solution

The fourth proportional to 537.12, 801.78 and 455.20 is: 679.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.12 : 801.78 = 455.20 : x
  2. Step 2: Convert to fraction form
    537.12/801.78 = 455.20/x
  3. Step 3: Cross multiply
    537.12x = 801.78 × 455.20
  4. Step 4: Simplify right side
    537.12x = 364,970.26
  5. Step 5: Solve for x
    x = 364,970.26/537.12
  6. Step 6: Final answer
    x = 679.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.