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Finding the Fourth Proportional to 545.76, 817.02 and 400.50

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Solution

The fourth proportional to 545.76, 817.02 and 400.50 is: 599.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.76 : 817.02 = 400.50 : x
  2. Step 2: Convert to fraction form
    545.76/817.02 = 400.50/x
  3. Step 3: Cross multiply
    545.76x = 817.02 × 400.50
  4. Step 4: Simplify right side
    545.76x = 327,216.51
  5. Step 5: Solve for x
    x = 327,216.51/545.76
  6. Step 6: Final answer
    x = 599.56

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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.