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Finding the Fourth Proportional to 657.42, 985.83 and 383.59

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Solution

The fourth proportional to 657.42, 985.83 and 383.59 is: 575.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.42 : 985.83 = 383.59 : x
  2. Step 2: Convert to fraction form
    657.42/985.83 = 383.59/x
  3. Step 3: Cross multiply
    657.42x = 985.83 × 383.59
  4. Step 4: Simplify right side
    657.42x = 378,152.61
  5. Step 5: Solve for x
    x = 378,152.61/657.42
  6. Step 6: Final answer
    x = 575.21

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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.