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Finding the Fourth Proportional to 717.29, 1,075.24 and 230.01

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Solution

The fourth proportional to 717.29, 1,075.24 and 230.01 is: 344.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.29 : 1,075.24 = 230.01 : x
  2. Step 2: Convert to fraction form
    717.29/1,075.24 = 230.01/x
  3. Step 3: Cross multiply
    717.29x = 1,075.24 × 230.01
  4. Step 4: Simplify right side
    717.29x = 247,312.21
  5. Step 5: Solve for x
    x = 247,312.21/717.29
  6. Step 6: Final answer
    x = 344.79

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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.