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Finding the Fourth Proportional to 545.92, 752.40 and 390.40

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Solution

The fourth proportional to 545.92, 752.40 and 390.40 is: 538.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.92 : 752.40 = 390.40 : x
  2. Step 2: Convert to fraction form
    545.92/752.40 = 390.40/x
  3. Step 3: Cross multiply
    545.92x = 752.40 × 390.40
  4. Step 4: Simplify right side
    545.92x = 293,736.96
  5. Step 5: Solve for x
    x = 293,736.96/545.92
  6. Step 6: Final answer
    x = 538.06

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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.