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Finding the Fourth Proportional to 357.60, 535.26 and 284.64

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Solution

The fourth proportional to 357.60, 535.26 and 284.64 is: 426.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.60 : 535.26 = 284.64 : x
  2. Step 2: Convert to fraction form
    357.60/535.26 = 284.64/x
  3. Step 3: Cross multiply
    357.60x = 535.26 × 284.64
  4. Step 4: Simplify right side
    357.60x = 152,356.41
  5. Step 5: Solve for x
    x = 152,356.41/357.60
  6. Step 6: Final answer
    x = 426.05

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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.