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Finding the Fourth Proportional to 715.30, 986.97 and 431.71

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Solution

The fourth proportional to 715.30, 986.97 and 431.71 is: 595.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.30 : 986.97 = 431.71 : x
  2. Step 2: Convert to fraction form
    715.30/986.97 = 431.71/x
  3. Step 3: Cross multiply
    715.30x = 986.97 × 431.71
  4. Step 4: Simplify right side
    715.30x = 426,084.82
  5. Step 5: Solve for x
    x = 426,084.82/715.30
  6. Step 6: Final answer
    x = 595.67

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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.