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Finding the Fourth Proportional to 646.34, 891.95 and 380.76

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Solution

The fourth proportional to 646.34, 891.95 and 380.76 is: 525.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.34 : 891.95 = 380.76 : x
  2. Step 2: Convert to fraction form
    646.34/891.95 = 380.76/x
  3. Step 3: Cross multiply
    646.34x = 891.95 × 380.76
  4. Step 4: Simplify right side
    646.34x = 339,616.98
  5. Step 5: Solve for x
    x = 339,616.98/646.34
  6. Step 6: Final answer
    x = 525.45

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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.