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Finding the Fourth Proportional to 560.96, 774.08 and 312.24

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Solution

The fourth proportional to 560.96, 774.08 and 312.24 is: 430.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.96 : 774.08 = 312.24 : x
  2. Step 2: Convert to fraction form
    560.96/774.08 = 312.24/x
  3. Step 3: Cross multiply
    560.96x = 774.08 × 312.24
  4. Step 4: Simplify right side
    560.96x = 241,698.74
  5. Step 5: Solve for x
    x = 241,698.74/560.96
  6. Step 6: Final answer
    x = 430.87

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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.