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Finding the Fourth Proportional to 535.64, 738.84 and 465.74

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Solution

The fourth proportional to 535.64, 738.84 and 465.74 is: 642.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.64 : 738.84 = 465.74 : x
  2. Step 2: Convert to fraction form
    535.64/738.84 = 465.74/x
  3. Step 3: Cross multiply
    535.64x = 738.84 × 465.74
  4. Step 4: Simplify right side
    535.64x = 344,107.34
  5. Step 5: Solve for x
    x = 344,107.34/535.64
  6. Step 6: Final answer
    x = 642.42

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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.