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Finding the Fourth Proportional to 534.93, 738.16 and 298.86

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Solution

The fourth proportional to 534.93, 738.16 and 298.86 is: 412.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.93 : 738.16 = 298.86 : x
  2. Step 2: Convert to fraction form
    534.93/738.16 = 298.86/x
  3. Step 3: Cross multiply
    534.93x = 738.16 × 298.86
  4. Step 4: Simplify right side
    534.93x = 220,606.50
  5. Step 5: Solve for x
    x = 220,606.50/534.93
  6. Step 6: Final answer
    x = 412.40

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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.