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Finding the Fourth Proportional to 711.04, 981.09 and 416.25

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Solution

The fourth proportional to 711.04, 981.09 and 416.25 is: 574.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.04 : 981.09 = 416.25 : x
  2. Step 2: Convert to fraction form
    711.04/981.09 = 416.25/x
  3. Step 3: Cross multiply
    711.04x = 981.09 × 416.25
  4. Step 4: Simplify right side
    711.04x = 408,378.71
  5. Step 5: Solve for x
    x = 408,378.71/711.04
  6. Step 6: Final answer
    x = 574.34

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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.