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Finding the Fourth Proportional to 560.98, 774.06 and 312.29

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Solution

The fourth proportional to 560.98, 774.06 and 312.29 is: 430.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.98 : 774.06 = 312.29 : x
  2. Step 2: Convert to fraction form
    560.98/774.06 = 312.29/x
  3. Step 3: Cross multiply
    560.98x = 774.06 × 312.29
  4. Step 4: Simplify right side
    560.98x = 241,735.17
  5. Step 5: Solve for x
    x = 241,735.17/560.98
  6. Step 6: Final answer
    x = 430.91

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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.