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Finding the Fourth Proportional to 540.96, 811.54 and 297.42

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Solution

The fourth proportional to 540.96, 811.54 and 297.42 is: 446.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.96 : 811.54 = 297.42 : x
  2. Step 2: Convert to fraction form
    540.96/811.54 = 297.42/x
  3. Step 3: Cross multiply
    540.96x = 811.54 × 297.42
  4. Step 4: Simplify right side
    540.96x = 241,368.23
  5. Step 5: Solve for x
    x = 241,368.23/540.96
  6. Step 6: Final answer
    x = 446.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.