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Finding the Fourth Proportional to 545.74, 752.56 and 427.50

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Solution

The fourth proportional to 545.74, 752.56 and 427.50 is: 589.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.74 : 752.56 = 427.50 : x
  2. Step 2: Convert to fraction form
    545.74/752.56 = 427.50/x
  3. Step 3: Cross multiply
    545.74x = 752.56 × 427.50
  4. Step 4: Simplify right side
    545.74x = 321,718.33
  5. Step 5: Solve for x
    x = 321,718.33/545.74
  6. Step 6: Final answer
    x = 589.51

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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.