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Finding the Fourth Proportional to 545.40, 753.24 and 414.96

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Solution

The fourth proportional to 545.40, 753.24 and 414.96 is: 573.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.40 : 753.24 = 414.96 : x
  2. Step 2: Convert to fraction form
    545.40/753.24 = 414.96/x
  3. Step 3: Cross multiply
    545.40x = 753.24 × 414.96
  4. Step 4: Simplify right side
    545.40x = 312,564.47
  5. Step 5: Solve for x
    x = 312,564.47/545.40
  6. Step 6: Final answer
    x = 573.09

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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.