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Finding the Fourth Proportional to 704.10, 971.15 and 538.02

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Solution

The fourth proportional to 704.10, 971.15 and 538.02 is: 742.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.10 : 971.15 = 538.02 : x
  2. Step 2: Convert to fraction form
    704.10/971.15 = 538.02/x
  3. Step 3: Cross multiply
    704.10x = 971.15 × 538.02
  4. Step 4: Simplify right side
    704.10x = 522,498.12
  5. Step 5: Solve for x
    x = 522,498.12/704.10
  6. Step 6: Final answer
    x = 742.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.