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Finding the Fourth Proportional to 545.10, 816.78 and 325.18

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Solution

The fourth proportional to 545.10, 816.78 and 325.18 is: 487.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.10 : 816.78 = 325.18 : x
  2. Step 2: Convert to fraction form
    545.10/816.78 = 325.18/x
  3. Step 3: Cross multiply
    545.10x = 816.78 × 325.18
  4. Step 4: Simplify right side
    545.10x = 265,602.76
  5. Step 5: Solve for x
    x = 265,602.76/545.10
  6. Step 6: Final answer
    x = 487.26

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