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Finding the Fourth Proportional to 491.85, 737.55 and 286.48

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Solution

The fourth proportional to 491.85, 737.55 and 286.48 is: 429.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.85 : 737.55 = 286.48 : x
  2. Step 2: Convert to fraction form
    491.85/737.55 = 286.48/x
  3. Step 3: Cross multiply
    491.85x = 737.55 × 286.48
  4. Step 4: Simplify right side
    491.85x = 211,293.32
  5. Step 5: Solve for x
    x = 211,293.32/491.85
  6. Step 6: Final answer
    x = 429.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.