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Finding the Fourth Proportional to 656.78, 985.29 and 291.58

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Solution

The fourth proportional to 656.78, 985.29 and 291.58 is: 437.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.78 : 985.29 = 291.58 : x
  2. Step 2: Convert to fraction form
    656.78/985.29 = 291.58/x
  3. Step 3: Cross multiply
    656.78x = 985.29 × 291.58
  4. Step 4: Simplify right side
    656.78x = 287,290.86
  5. Step 5: Solve for x
    x = 287,290.86/656.78
  6. Step 6: Final answer
    x = 437.42

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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.