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Finding the Fourth Proportional to 354.60, 527.67 and 354.15

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Solution

The fourth proportional to 354.60, 527.67 and 354.15 is: 527.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.60 : 527.67 = 354.15 : x
  2. Step 2: Convert to fraction form
    354.60/527.67 = 354.15/x
  3. Step 3: Cross multiply
    354.60x = 527.67 × 354.15
  4. Step 4: Simplify right side
    354.60x = 186,874.33
  5. Step 5: Solve for x
    x = 186,874.33/354.60
  6. Step 6: Final answer
    x = 527.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.