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Finding the Fourth Proportional to 711.26, 981.24 and 431.54

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Solution

The fourth proportional to 711.26, 981.24 and 431.54 is: 595.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.26 : 981.24 = 431.54 : x
  2. Step 2: Convert to fraction form
    711.26/981.24 = 431.54/x
  3. Step 3: Cross multiply
    711.26x = 981.24 × 431.54
  4. Step 4: Simplify right side
    711.26x = 423,444.31
  5. Step 5: Solve for x
    x = 423,444.31/711.26
  6. Step 6: Final answer
    x = 595.34

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Half scale
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Double scale
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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.