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Finding the Fourth Proportional to 535.58, 737.58 and 491.84

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Solution

The fourth proportional to 535.58, 737.58 and 491.84 is: 677.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.58 : 737.58 = 491.84 : x
  2. Step 2: Convert to fraction form
    535.58/737.58 = 491.84/x
  3. Step 3: Cross multiply
    535.58x = 737.58 × 491.84
  4. Step 4: Simplify right side
    535.58x = 362,771.35
  5. Step 5: Solve for x
    x = 362,771.35/535.58
  6. Step 6: Final answer
    x = 677.34

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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.