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Finding the Fourth Proportional to 560.97, 774.11 and 312.30

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Solution

The fourth proportional to 560.97, 774.11 and 312.30 is: 430.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.97 : 774.11 = 312.30 : x
  2. Step 2: Convert to fraction form
    560.97/774.11 = 312.30/x
  3. Step 3: Cross multiply
    560.97x = 774.11 × 312.30
  4. Step 4: Simplify right side
    560.97x = 241,752.99
  5. Step 5: Solve for x
    x = 241,752.99/560.97
  6. Step 6: Final answer
    x = 430.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.