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Finding the Fourth Proportional to 491.68, 678.46 and 295.16

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Solution

The fourth proportional to 491.68, 678.46 and 295.16 is: 407.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.68 : 678.46 = 295.16 : x
  2. Step 2: Convert to fraction form
    491.68/678.46 = 295.16/x
  3. Step 3: Cross multiply
    491.68x = 678.46 × 295.16
  4. Step 4: Simplify right side
    491.68x = 200,254.25
  5. Step 5: Solve for x
    x = 200,254.25/491.68
  6. Step 6: Final answer
    x = 407.29

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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.