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Finding the Fourth Proportional to 971.12, 1,455.38 and 354.25

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Solution

The fourth proportional to 971.12, 1,455.38 and 354.25 is: 530.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.12 : 1,455.38 = 354.25 : x
  2. Step 2: Convert to fraction form
    971.12/1,455.38 = 354.25/x
  3. Step 3: Cross multiply
    971.12x = 1,455.38 × 354.25
  4. Step 4: Simplify right side
    971.12x = 515,561.09
  5. Step 5: Solve for x
    x = 515,561.09/971.12
  6. Step 6: Final answer
    x = 530.89

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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.