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Finding the Fourth Proportional to 537.98, 741.55 and 363.02

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Solution

The fourth proportional to 537.98, 741.55 and 363.02 is: 500.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.98 : 741.55 = 363.02 : x
  2. Step 2: Convert to fraction form
    537.98/741.55 = 363.02/x
  3. Step 3: Cross multiply
    537.98x = 741.55 × 363.02
  4. Step 4: Simplify right side
    537.98x = 269,197.48
  5. Step 5: Solve for x
    x = 269,197.48/537.98
  6. Step 6: Final answer
    x = 500.39

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1.5x scale

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.