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Finding the Fourth Proportional to 717.17, 1,075.53 and 352.22

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Solution

The fourth proportional to 717.17, 1,075.53 and 352.22 is: 528.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.17 : 1,075.53 = 352.22 : x
  2. Step 2: Convert to fraction form
    717.17/1,075.53 = 352.22/x
  3. Step 3: Cross multiply
    717.17x = 1,075.53 × 352.22
  4. Step 4: Simplify right side
    717.17x = 378,817.14
  5. Step 5: Solve for x
    x = 378,817.14/717.17
  6. Step 6: Final answer
    x = 528.21

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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.