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Finding the Fourth Proportional to 491.84, 737.28 and 235.52

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Solution

The fourth proportional to 491.84, 737.28 and 235.52 is: 353.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.84 : 737.28 = 235.52 : x
  2. Step 2: Convert to fraction form
    491.84/737.28 = 235.52/x
  3. Step 3: Cross multiply
    491.84x = 737.28 × 235.52
  4. Step 4: Simplify right side
    491.84x = 173,644.19
  5. Step 5: Solve for x
    x = 173,644.19/491.84
  6. Step 6: Final answer
    x = 353.05

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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.