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Finding the Fourth Proportional to 537.36, 741.60 and 362.64

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Solution

The fourth proportional to 537.36, 741.60 and 362.64 is: 500.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.36 : 741.60 = 362.64 : x
  2. Step 2: Convert to fraction form
    537.36/741.60 = 362.64/x
  3. Step 3: Cross multiply
    537.36x = 741.60 × 362.64
  4. Step 4: Simplify right side
    537.36x = 268,933.82
  5. Step 5: Solve for x
    x = 268,933.82/537.36
  6. Step 6: Final answer
    x = 500.47

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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.