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Finding the Fourth Proportional to 545.70, 816.57 and 302.46

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Solution

The fourth proportional to 545.70, 816.57 and 302.46 is: 452.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.70 : 816.57 = 302.46 : x
  2. Step 2: Convert to fraction form
    545.70/816.57 = 302.46/x
  3. Step 3: Cross multiply
    545.70x = 816.57 × 302.46
  4. Step 4: Simplify right side
    545.70x = 246,979.76
  5. Step 5: Solve for x
    x = 246,979.76/545.70
  6. Step 6: Final answer
    x = 452.59

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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.