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Finding the Fourth Proportional to 491.42, 737.10 and 202.86

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Solution

The fourth proportional to 491.42, 737.10 and 202.86 is: 304.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.42 : 737.10 = 202.86 : x
  2. Step 2: Convert to fraction form
    491.42/737.10 = 202.86/x
  3. Step 3: Cross multiply
    491.42x = 737.10 × 202.86
  4. Step 4: Simplify right side
    491.42x = 149,528.11
  5. Step 5: Solve for x
    x = 149,528.11/491.42
  6. Step 6: Final answer
    x = 304.28

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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.