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Finding the Fourth Proportional to 540.79, 746.69 and 354.21

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Solution

The fourth proportional to 540.79, 746.69 and 354.21 is: 489.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.79 : 746.69 = 354.21 : x
  2. Step 2: Convert to fraction form
    540.79/746.69 = 354.21/x
  3. Step 3: Cross multiply
    540.79x = 746.69 × 354.21
  4. Step 4: Simplify right side
    540.79x = 264,486.63
  5. Step 5: Solve for x
    x = 264,486.63/540.79
  6. Step 6: Final answer
    x = 489.08

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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.