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Finding the Fourth Proportional to 491.61, 678.54 and 325.83

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Solution

The fourth proportional to 491.61, 678.54 and 325.83 is: 449.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.61 : 678.54 = 325.83 : x
  2. Step 2: Convert to fraction form
    491.61/678.54 = 325.83/x
  3. Step 3: Cross multiply
    491.61x = 678.54 × 325.83
  4. Step 4: Simplify right side
    491.61x = 221,088.69
  5. Step 5: Solve for x
    x = 221,088.69/491.61
  6. Step 6: Final answer
    x = 449.72

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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.