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Finding the Fourth Proportional to 545.96, 753.42 and 313.04

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Solution

The fourth proportional to 545.96, 753.42 and 313.04 is: 431.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.96 : 753.42 = 313.04 : x
  2. Step 2: Convert to fraction form
    545.96/753.42 = 313.04/x
  3. Step 3: Cross multiply
    545.96x = 753.42 × 313.04
  4. Step 4: Simplify right side
    545.96x = 235,850.60
  5. Step 5: Solve for x
    x = 235,850.60/545.96
  6. Step 6: Final answer
    x = 431.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.