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Finding the Fourth Proportional to 657.60, 985.70 and 364.78

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Solution

The fourth proportional to 657.60, 985.70 and 364.78 is: 546.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.60 : 985.70 = 364.78 : x
  2. Step 2: Convert to fraction form
    657.60/985.70 = 364.78/x
  3. Step 3: Cross multiply
    657.60x = 985.70 × 364.78
  4. Step 4: Simplify right side
    657.60x = 359,563.65
  5. Step 5: Solve for x
    x = 359,563.65/657.60
  6. Step 6: Final answer
    x = 546.78

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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.