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Finding the Fourth Proportional to 675.77, 932.15 and 410.09

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Solution

The fourth proportional to 675.77, 932.15 and 410.09 is: 565.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.77 : 932.15 = 410.09 : x
  2. Step 2: Convert to fraction form
    675.77/932.15 = 410.09/x
  3. Step 3: Cross multiply
    675.77x = 932.15 × 410.09
  4. Step 4: Simplify right side
    675.77x = 382,263.34
  5. Step 5: Solve for x
    x = 382,263.34/675.77
  6. Step 6: Final answer
    x = 565.67

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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.