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Finding the Fourth Proportional to 717, 1,075.52 and 230.10

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Solution

The fourth proportional to 717, 1,075.52 and 230.10 is: 345.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    717 : 1,075.52 = 230.10 : x
  2. Step 2: Convert to fraction form
    717/1,075.52 = 230.10/x
  3. Step 3: Cross multiply
    717x = 1,075.52 × 230.10
  4. Step 4: Simplify right side
    717x = 247,477.15
  5. Step 5: Solve for x
    x = 247,477.15/717
  6. Step 6: Final answer
    x = 345.16

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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.