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Finding the Fourth Proportional to 717.60, 1,075.76 and 284.46

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Solution

The fourth proportional to 717.60, 1,075.76 and 284.46 is: 426.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.60 : 1,075.76 = 284.46 : x
  2. Step 2: Convert to fraction form
    717.60/1,075.76 = 284.46/x
  3. Step 3: Cross multiply
    717.60x = 1,075.76 × 284.46
  4. Step 4: Simplify right side
    717.60x = 306,010.69
  5. Step 5: Solve for x
    x = 306,010.69/717.60
  6. Step 6: Final answer
    x = 426.44

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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.