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Finding the Fourth Proportional to 717.07, 1,075.56 and 305.95

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Solution

The fourth proportional to 717.07, 1,075.56 and 305.95 is: 458.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.07 : 1,075.56 = 305.95 : x
  2. Step 2: Convert to fraction form
    717.07/1,075.56 = 305.95/x
  3. Step 3: Cross multiply
    717.07x = 1,075.56 × 305.95
  4. Step 4: Simplify right side
    717.07x = 329,067.58
  5. Step 5: Solve for x
    x = 329,067.58/717.07
  6. Step 6: Final answer
    x = 458.91

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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.