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Finding the Fourth Proportional to 545.72, 753.10 and 427.83

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Solution

The fourth proportional to 545.72, 753.10 and 427.83 is: 590.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.72 : 753.10 = 427.83 : x
  2. Step 2: Convert to fraction form
    545.72/753.10 = 427.83/x
  3. Step 3: Cross multiply
    545.72x = 753.10 × 427.83
  4. Step 4: Simplify right side
    545.72x = 322,197.70
  5. Step 5: Solve for x
    x = 322,197.70/545.72
  6. Step 6: Final answer
    x = 590.41

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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.