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Finding the Fourth Proportional to 535.66, 738.46 and 358.65

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Solution

The fourth proportional to 535.66, 738.46 and 358.65 is: 494.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.66 : 738.46 = 358.65 : x
  2. Step 2: Convert to fraction form
    535.66/738.46 = 358.65/x
  3. Step 3: Cross multiply
    535.66x = 738.46 × 358.65
  4. Step 4: Simplify right side
    535.66x = 264,849.13
  5. Step 5: Solve for x
    x = 264,849.13/535.66
  6. Step 6: Final answer
    x = 494.44

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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.