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Finding the Fourth Proportional to 492.02, 678.71 and 295.49

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Solution

The fourth proportional to 492.02, 678.71 and 295.49 is: 407.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.02 : 678.71 = 295.49 : x
  2. Step 2: Convert to fraction form
    492.02/678.71 = 295.49/x
  3. Step 3: Cross multiply
    492.02x = 678.71 × 295.49
  4. Step 4: Simplify right side
    492.02x = 200,547.15
  5. Step 5: Solve for x
    x = 200,547.15/492.02
  6. Step 6: Final answer
    x = 407.60

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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.