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Finding the Fourth Proportional to 491.12, 677.52 and 336.08

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Solution

The fourth proportional to 491.12, 677.52 and 336.08 is: 463.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.12 : 677.52 = 336.08 : x
  2. Step 2: Convert to fraction form
    491.12/677.52 = 336.08/x
  3. Step 3: Cross multiply
    491.12x = 677.52 × 336.08
  4. Step 4: Simplify right side
    491.12x = 227,700.92
  5. Step 5: Solve for x
    x = 227,700.92/491.12
  6. Step 6: Final answer
    x = 463.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.