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Finding the Fourth Proportional to 560.16, 839.64 and 230.94

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Solution

The fourth proportional to 560.16, 839.64 and 230.94 is: 346.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.16 : 839.64 = 230.94 : x
  2. Step 2: Convert to fraction form
    560.16/839.64 = 230.94/x
  3. Step 3: Cross multiply
    560.16x = 839.64 × 230.94
  4. Step 4: Simplify right side
    560.16x = 193,906.46
  5. Step 5: Solve for x
    x = 193,906.46/560.16
  6. Step 6: Final answer
    x = 346.16

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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.