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Finding the Fourth Proportional to 545.23, 817.80 and 237.07

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Solution

The fourth proportional to 545.23, 817.80 and 237.07 is: 355.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.23 : 817.80 = 237.07 : x
  2. Step 2: Convert to fraction form
    545.23/817.80 = 237.07/x
  3. Step 3: Cross multiply
    545.23x = 817.80 × 237.07
  4. Step 4: Simplify right side
    545.23x = 193,875.85
  5. Step 5: Solve for x
    x = 193,875.85/545.23
  6. Step 6: Final answer
    x = 355.59

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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.