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Finding the Fourth Proportional to 710.83, 981.12 and 416.29

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Solution

The fourth proportional to 710.83, 981.12 and 416.29 is: 574.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.83 : 981.12 = 416.29 : x
  2. Step 2: Convert to fraction form
    710.83/981.12 = 416.29/x
  3. Step 3: Cross multiply
    710.83x = 981.12 × 416.29
  4. Step 4: Simplify right side
    710.83x = 408,430.44
  5. Step 5: Solve for x
    x = 408,430.44/710.83
  6. Step 6: Final answer
    x = 574.58

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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.