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Finding the Fourth Proportional to 545.86, 752.24 and 390.34

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Solution

The fourth proportional to 545.86, 752.24 and 390.34 is: 537.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.86 : 752.24 = 390.34 : x
  2. Step 2: Convert to fraction form
    545.86/752.24 = 390.34/x
  3. Step 3: Cross multiply
    545.86x = 752.24 × 390.34
  4. Step 4: Simplify right side
    545.86x = 293,629.36
  5. Step 5: Solve for x
    x = 293,629.36/545.86
  6. Step 6: Final answer
    x = 537.92

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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.