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Finding the Fourth Proportional to 491.54, 737.32 and 286.34

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Solution

The fourth proportional to 491.54, 737.32 and 286.34 is: 429.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.54 : 737.32 = 286.34 : x
  2. Step 2: Convert to fraction form
    491.54/737.32 = 286.34/x
  3. Step 3: Cross multiply
    491.54x = 737.32 × 286.34
  4. Step 4: Simplify right side
    491.54x = 211,124.21
  5. Step 5: Solve for x
    x = 211,124.21/491.54
  6. Step 6: Final answer
    x = 429.52

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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.