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Finding the Fourth Proportional to 560.74, 773.53 and 364.32

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Solution

The fourth proportional to 560.74, 773.53 and 364.32 is: 502.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.74 : 773.53 = 364.32 : x
  2. Step 2: Convert to fraction form
    560.74/773.53 = 364.32/x
  3. Step 3: Cross multiply
    560.74x = 773.53 × 364.32
  4. Step 4: Simplify right side
    560.74x = 281,812.45
  5. Step 5: Solve for x
    x = 281,812.45/560.74
  6. Step 6: Final answer
    x = 502.57

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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.