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Finding the Fourth Proportional to 477.48, 659.54 and 394.92

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Solution

The fourth proportional to 477.48, 659.54 and 394.92 is: 545.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.48 : 659.54 = 394.92 : x
  2. Step 2: Convert to fraction form
    477.48/659.54 = 394.92/x
  3. Step 3: Cross multiply
    477.48x = 659.54 × 394.92
  4. Step 4: Simplify right side
    477.48x = 260,465.54
  5. Step 5: Solve for x
    x = 260,465.54/477.48
  6. Step 6: Final answer
    x = 545.50

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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.