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Finding the Fourth Proportional to 354.64, 530.36 and 276.72

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Solution

The fourth proportional to 354.64, 530.36 and 276.72 is: 413.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.64 : 530.36 = 276.72 : x
  2. Step 2: Convert to fraction form
    354.64/530.36 = 276.72/x
  3. Step 3: Cross multiply
    354.64x = 530.36 × 276.72
  4. Step 4: Simplify right side
    354.64x = 146,761.22
  5. Step 5: Solve for x
    x = 146,761.22/354.64
  6. Step 6: Final answer
    x = 413.83

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