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Finding the Fourth Proportional to 545.83, 753.23 and 324.77

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Solution

The fourth proportional to 545.83, 753.23 and 324.77 is: 448.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.83 : 753.23 = 324.77 : x
  2. Step 2: Convert to fraction form
    545.83/753.23 = 324.77/x
  3. Step 3: Cross multiply
    545.83x = 753.23 × 324.77
  4. Step 4: Simplify right side
    545.83x = 244,623.55
  5. Step 5: Solve for x
    x = 244,623.55/545.83
  6. Step 6: Final answer
    x = 448.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.