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Finding the Fourth Proportional to 545.21, 816.29 and 297.51

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Solution

The fourth proportional to 545.21, 816.29 and 297.51 is: 445.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.21 : 816.29 = 297.51 : x
  2. Step 2: Convert to fraction form
    545.21/816.29 = 297.51/x
  3. Step 3: Cross multiply
    545.21x = 816.29 × 297.51
  4. Step 4: Simplify right side
    545.21x = 242,852.95
  5. Step 5: Solve for x
    x = 242,852.95/545.21
  6. Step 6: Final answer
    x = 445.43

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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.