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Finding the Fourth Proportional to 717.40, 1,075.68 and 352

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Solution

The fourth proportional to 717.40, 1,075.68 and 352 is: 527.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.40 : 1,075.68 = 352 : x
  2. Step 2: Convert to fraction form
    717.40/1,075.68 = 352/x
  3. Step 3: Cross multiply
    717.40x = 1,075.68 × 352
  4. Step 4: Simplify right side
    717.40x = 378,639.36
  5. Step 5: Solve for x
    x = 378,639.36/717.40
  6. Step 6: Final answer
    x = 527.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.