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Finding the Fourth Proportional to 545.33, 752.90 and 471.49

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Solution

The fourth proportional to 545.33, 752.90 and 471.49 is: 650.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.33 : 752.90 = 471.49 : x
  2. Step 2: Convert to fraction form
    545.33/752.90 = 471.49/x
  3. Step 3: Cross multiply
    545.33x = 752.90 × 471.49
  4. Step 4: Simplify right side
    545.33x = 354,980.58
  5. Step 5: Solve for x
    x = 354,980.58/545.33
  6. Step 6: Final answer
    x = 650.94

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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.