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Finding the Fourth Proportional to 545.73, 753.16 and 346.77

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Solution

The fourth proportional to 545.73, 753.16 and 346.77 is: 478.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.73 : 753.16 = 346.77 : x
  2. Step 2: Convert to fraction form
    545.73/753.16 = 346.77/x
  3. Step 3: Cross multiply
    545.73x = 753.16 × 346.77
  4. Step 4: Simplify right side
    545.73x = 261,173.29
  5. Step 5: Solve for x
    x = 261,173.29/545.73
  6. Step 6: Final answer
    x = 478.58

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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.