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Finding the Fourth Proportional to 711.90, 982.17 and 432.23

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Solution

The fourth proportional to 711.90, 982.17 and 432.23 is: 596.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.90 : 982.17 = 432.23 : x
  2. Step 2: Convert to fraction form
    711.90/982.17 = 432.23/x
  3. Step 3: Cross multiply
    711.90x = 982.17 × 432.23
  4. Step 4: Simplify right side
    711.90x = 424,518.43
  5. Step 5: Solve for x
    x = 424,518.43/711.90
  6. Step 6: Final answer
    x = 596.32

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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.