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Finding the Fourth Proportional to 535.02, 738.06 and 338.16

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Solution

The fourth proportional to 535.02, 738.06 and 338.16 is: 466.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.02 : 738.06 = 338.16 : x
  2. Step 2: Convert to fraction form
    535.02/738.06 = 338.16/x
  3. Step 3: Cross multiply
    535.02x = 738.06 × 338.16
  4. Step 4: Simplify right side
    535.02x = 249,582.37
  5. Step 5: Solve for x
    x = 249,582.37/535.02
  6. Step 6: Final answer
    x = 466.49

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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.