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Finding the Fourth Proportional to 535.50, 736.56 and 469.92

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Solution

The fourth proportional to 535.50, 736.56 and 469.92 is: 646.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.50 : 736.56 = 469.92 : x
  2. Step 2: Convert to fraction form
    535.50/736.56 = 469.92/x
  3. Step 3: Cross multiply
    535.50x = 736.56 × 469.92
  4. Step 4: Simplify right side
    535.50x = 346,124.28
  5. Step 5: Solve for x
    x = 346,124.28/535.50
  6. Step 6: Final answer
    x = 646.36

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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.