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Finding the Fourth Proportional to 710.86, 981.03 and 416.20

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Solution

The fourth proportional to 710.86, 981.03 and 416.20 is: 574.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.86 : 981.03 = 416.20 : x
  2. Step 2: Convert to fraction form
    710.86/981.03 = 416.20/x
  3. Step 3: Cross multiply
    710.86x = 981.03 × 416.20
  4. Step 4: Simplify right side
    710.86x = 408,304.69
  5. Step 5: Solve for x
    x = 408,304.69/710.86
  6. Step 6: Final answer
    x = 574.38

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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.