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Finding the Fourth Proportional to 656.16, 985.29 and 382.45

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Solution

The fourth proportional to 656.16, 985.29 and 382.45 is: 574.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.16 : 985.29 = 382.45 : x
  2. Step 2: Convert to fraction form
    656.16/985.29 = 382.45/x
  3. Step 3: Cross multiply
    656.16x = 985.29 × 382.45
  4. Step 4: Simplify right side
    656.16x = 376,822.25
  5. Step 5: Solve for x
    x = 376,822.25/656.16
  6. Step 6: Final answer
    x = 574.28

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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.