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Finding the Fourth Proportional to 869, 1,303.58 and 413

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Solution

The fourth proportional to 869, 1,303.58 and 413 is: 619.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    869 : 1,303.58 = 413 : x
  2. Step 2: Convert to fraction form
    869/1,303.58 = 413/x
  3. Step 3: Cross multiply
    869x = 1,303.58 × 413
  4. Step 4: Simplify right side
    869x = 538,378.54
  5. Step 5: Solve for x
    x = 538,378.54/869
  6. Step 6: Final answer
    x = 619.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.