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Finding the Fourth Proportional to 656.59, 985.14 and 309.91

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Solution

The fourth proportional to 656.59, 985.14 and 309.91 is: 464.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.59 : 985.14 = 309.91 : x
  2. Step 2: Convert to fraction form
    656.59/985.14 = 309.91/x
  3. Step 3: Cross multiply
    656.59x = 985.14 × 309.91
  4. Step 4: Simplify right side
    656.59x = 305,304.74
  5. Step 5: Solve for x
    x = 305,304.74/656.59
  6. Step 6: Final answer
    x = 464.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.