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Finding the Fourth Proportional to 717.41, 1,075.70 and 255

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Solution

The fourth proportional to 717.41, 1,075.70 and 255 is: 382.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.41 : 1,075.70 = 255 : x
  2. Step 2: Convert to fraction form
    717.41/1,075.70 = 255/x
  3. Step 3: Cross multiply
    717.41x = 1,075.70 × 255
  4. Step 4: Simplify right side
    717.41x = 274,302.23
  5. Step 5: Solve for x
    x = 274,302.23/717.41
  6. Step 6: Final answer
    x = 382.35

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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.