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Finding the Fourth Proportional to 545.70, 753.07 and 297.02

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Solution

The fourth proportional to 545.70, 753.07 and 297.02 is: 409.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.70 : 753.07 = 297.02 : x
  2. Step 2: Convert to fraction form
    545.70/753.07 = 297.02/x
  3. Step 3: Cross multiply
    545.70x = 753.07 × 297.02
  4. Step 4: Simplify right side
    545.70x = 223,676.85
  5. Step 5: Solve for x
    x = 223,676.85/545.70
  6. Step 6: Final answer
    x = 409.89

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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.