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Finding the Fourth Proportional to 560.22, 771.22 and 497.95

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Solution

The fourth proportional to 560.22, 771.22 and 497.95 is: 685.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.22 : 771.22 = 497.95 : x
  2. Step 2: Convert to fraction form
    560.22/771.22 = 497.95/x
  3. Step 3: Cross multiply
    560.22x = 771.22 × 497.95
  4. Step 4: Simplify right side
    560.22x = 384,027.69
  5. Step 5: Solve for x
    x = 384,027.69/560.22
  6. Step 6: Final answer
    x = 685.50

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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.