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Finding the Fourth Proportional to 545.77, 753.16 and 297.09

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Solution

The fourth proportional to 545.77, 753.16 and 297.09 is: 409.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.77 : 753.16 = 297.09 : x
  2. Step 2: Convert to fraction form
    545.77/753.16 = 297.09/x
  3. Step 3: Cross multiply
    545.77x = 753.16 × 297.09
  4. Step 4: Simplify right side
    545.77x = 223,756.30
  5. Step 5: Solve for x
    x = 223,756.30/545.77
  6. Step 6: Final answer
    x = 409.98

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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.