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Finding the Fourth Proportional to 491.42, 736.57 and 202.50

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Solution

The fourth proportional to 491.42, 736.57 and 202.50 is: 303.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.42 : 736.57 = 202.50 : x
  2. Step 2: Convert to fraction form
    491.42/736.57 = 202.50/x
  3. Step 3: Cross multiply
    491.42x = 736.57 × 202.50
  4. Step 4: Simplify right side
    491.42x = 149,155.43
  5. Step 5: Solve for x
    x = 149,155.43/491.42
  6. Step 6: Final answer
    x = 303.52

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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.