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Finding the Fourth Proportional to 560.97, 774.16 and 312.35

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Solution

The fourth proportional to 560.97, 774.16 and 312.35 is: 431.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.97 : 774.16 = 312.35 : x
  2. Step 2: Convert to fraction form
    560.97/774.16 = 312.35/x
  3. Step 3: Cross multiply
    560.97x = 774.16 × 312.35
  4. Step 4: Simplify right side
    560.97x = 241,804.22
  5. Step 5: Solve for x
    x = 241,804.22/560.97
  6. Step 6: Final answer
    x = 431.05

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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.