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Finding the Fourth Proportional to 656.60, 986.16 and 383.24

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Solution

The fourth proportional to 656.60, 986.16 and 383.24 is: 575.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.60 : 986.16 = 383.24 : x
  2. Step 2: Convert to fraction form
    656.60/986.16 = 383.24/x
  3. Step 3: Cross multiply
    656.60x = 986.16 × 383.24
  4. Step 4: Simplify right side
    656.60x = 377,935.96
  5. Step 5: Solve for x
    x = 377,935.96/656.60
  6. Step 6: Final answer
    x = 575.60

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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.