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Finding the Fourth Proportional to 535, 737.92 and 338.32

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Solution

The fourth proportional to 535, 737.92 and 338.32 is: 466.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    535 : 737.92 = 338.32 : x
  2. Step 2: Convert to fraction form
    535/737.92 = 338.32/x
  3. Step 3: Cross multiply
    535x = 737.92 × 338.32
  4. Step 4: Simplify right side
    535x = 249,653.09
  5. Step 5: Solve for x
    x = 249,653.09/535
  6. Step 6: Final answer
    x = 466.64

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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.