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Finding the Fourth Proportional to 560.21, 772.55 and 360.84

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Solution

The fourth proportional to 560.21, 772.55 and 360.84 is: 497.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.21 : 772.55 = 360.84 : x
  2. Step 2: Convert to fraction form
    560.21/772.55 = 360.84/x
  3. Step 3: Cross multiply
    560.21x = 772.55 × 360.84
  4. Step 4: Simplify right side
    560.21x = 278,761.28
  5. Step 5: Solve for x
    x = 278,761.28/560.21
  6. Step 6: Final answer
    x = 497.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.