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Finding the Fourth Proportional to 717.06, 1,075.23 and 346.80

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Solution

The fourth proportional to 717.06, 1,075.23 and 346.80 is: 520.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.06 : 1,075.23 = 346.80 : x
  2. Step 2: Convert to fraction form
    717.06/1,075.23 = 346.80/x
  3. Step 3: Cross multiply
    717.06x = 1,075.23 × 346.80
  4. Step 4: Simplify right side
    717.06x = 372,889.76
  5. Step 5: Solve for x
    x = 372,889.76/717.06
  6. Step 6: Final answer
    x = 520.03

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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.