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Finding the Fourth Proportional to 711.19, 981.53 and 416.47

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Solution

The fourth proportional to 711.19, 981.53 and 416.47 is: 574.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.19 : 981.53 = 416.47 : x
  2. Step 2: Convert to fraction form
    711.19/981.53 = 416.47/x
  3. Step 3: Cross multiply
    711.19x = 981.53 × 416.47
  4. Step 4: Simplify right side
    711.19x = 408,770.81
  5. Step 5: Solve for x
    x = 408,770.81/711.19
  6. Step 6: Final answer
    x = 574.77

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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.