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Finding the Fourth Proportional to 560.94, 774.06 and 312.32

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Solution

The fourth proportional to 560.94, 774.06 and 312.32 is: 430.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.94 : 774.06 = 312.32 : x
  2. Step 2: Convert to fraction form
    560.94/774.06 = 312.32/x
  3. Step 3: Cross multiply
    560.94x = 774.06 × 312.32
  4. Step 4: Simplify right side
    560.94x = 241,755.18
  5. Step 5: Solve for x
    x = 241,755.18/560.94
  6. Step 6: Final answer
    x = 430.98

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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.