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Finding the Fourth Proportional to 491.50, 678.18 and 295.06

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Solution

The fourth proportional to 491.50, 678.18 and 295.06 is: 407.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.50 : 678.18 = 295.06 : x
  2. Step 2: Convert to fraction form
    491.50/678.18 = 295.06/x
  3. Step 3: Cross multiply
    491.50x = 678.18 × 295.06
  4. Step 4: Simplify right side
    491.50x = 200,103.79
  5. Step 5: Solve for x
    x = 200,103.79/491.50
  6. Step 6: Final answer
    x = 407.13

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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.