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Finding the Fourth Proportional to 492.02, 678.38 and 417.20

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Solution

The fourth proportional to 492.02, 678.38 and 417.20 is: 575.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.02 : 678.38 = 417.20 : x
  2. Step 2: Convert to fraction form
    492.02/678.38 = 417.20/x
  3. Step 3: Cross multiply
    492.02x = 678.38 × 417.20
  4. Step 4: Simplify right side
    492.02x = 283,014.66
  5. Step 5: Solve for x
    x = 283,014.66/492.02
  6. Step 6: Final answer
    x = 575.22

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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.