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Finding the Fourth Proportional to 717.30, 1,075.25 and 230.00

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Solution

The fourth proportional to 717.30, 1,075.25 and 230.00 is: 344.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.30 : 1,075.25 = 230.00 : x
  2. Step 2: Convert to fraction form
    717.30/1,075.25 = 230.00/x
  3. Step 3: Cross multiply
    717.30x = 1,075.25 × 230.00
  4. Step 4: Simplify right side
    717.30x = 247,302.70
  5. Step 5: Solve for x
    x = 247,302.70/717.30
  6. Step 6: Final answer
    x = 344.77

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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.