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Finding the Fourth Proportional to 545.66, 816.57 and 401.02

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Solution

The fourth proportional to 545.66, 816.57 and 401.02 is: 600.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.66 : 816.57 = 401.02 : x
  2. Step 2: Convert to fraction form
    545.66/816.57 = 401.02/x
  3. Step 3: Cross multiply
    545.66x = 816.57 × 401.02
  4. Step 4: Simplify right side
    545.66x = 327,460.90
  5. Step 5: Solve for x
    x = 327,460.90/545.66
  6. Step 6: Final answer
    x = 600.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.