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Finding the Fourth Proportional to 711.18, 980.91 and 431.46

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Solution

The fourth proportional to 711.18, 980.91 and 431.46 is: 595.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.18 : 980.91 = 431.46 : x
  2. Step 2: Convert to fraction form
    711.18/980.91 = 431.46/x
  3. Step 3: Cross multiply
    711.18x = 980.91 × 431.46
  4. Step 4: Simplify right side
    711.18x = 423,223.43
  5. Step 5: Solve for x
    x = 423,223.43/711.18
  6. Step 6: Final answer
    x = 595.10

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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.