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Finding the Fourth Proportional to 540.88, 746.16 and 354.30

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Solution

The fourth proportional to 540.88, 746.16 and 354.30 is: 488.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.88 : 746.16 = 354.30 : x
  2. Step 2: Convert to fraction form
    540.88/746.16 = 354.30/x
  3. Step 3: Cross multiply
    540.88x = 746.16 × 354.30
  4. Step 4: Simplify right side
    540.88x = 264,364.49
  5. Step 5: Solve for x
    x = 264,364.49/540.88
  6. Step 6: Final answer
    x = 488.77

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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.