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Finding the Fourth Proportional to 710.96, 981.14 and 416.22

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Solution

The fourth proportional to 710.96, 981.14 and 416.22 is: 574.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.96 : 981.14 = 416.22 : x
  2. Step 2: Convert to fraction form
    710.96/981.14 = 416.22/x
  3. Step 3: Cross multiply
    710.96x = 981.14 × 416.22
  4. Step 4: Simplify right side
    710.96x = 408,370.09
  5. Step 5: Solve for x
    x = 408,370.09/710.96
  6. Step 6: Final answer
    x = 574.39

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1.5x scale

Why These Related Problems?

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