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Finding the Fourth Proportional to 485.78, 670.35 and 401.03

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Solution

The fourth proportional to 485.78, 670.35 and 401.03 is: 553.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.78 : 670.35 = 401.03 : x
  2. Step 2: Convert to fraction form
    485.78/670.35 = 401.03/x
  3. Step 3: Cross multiply
    485.78x = 670.35 × 401.03
  4. Step 4: Simplify right side
    485.78x = 268,832.14
  5. Step 5: Solve for x
    x = 268,832.14/485.78
  6. Step 6: Final answer
    x = 553.40

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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.