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Finding the Fourth Proportional to 560.76, 773.74 and 312

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Solution

The fourth proportional to 560.76, 773.74 and 312 is: 430.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.76 : 773.74 = 312 : x
  2. Step 2: Convert to fraction form
    560.76/773.74 = 312/x
  3. Step 3: Cross multiply
    560.76x = 773.74 × 312
  4. Step 4: Simplify right side
    560.76x = 241,406.88
  5. Step 5: Solve for x
    x = 241,406.88/560.76
  6. Step 6: Final answer
    x = 430.50

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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.