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Finding the Fourth Proportional to 560.48, 773.20 and 364.08

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Solution

The fourth proportional to 560.48, 773.20 and 364.08 is: 502.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.48 : 773.20 = 364.08 : x
  2. Step 2: Convert to fraction form
    560.48/773.20 = 364.08/x
  3. Step 3: Cross multiply
    560.48x = 773.20 × 364.08
  4. Step 4: Simplify right side
    560.48x = 281,506.66
  5. Step 5: Solve for x
    x = 281,506.66/560.48
  6. Step 6: Final answer
    x = 502.26

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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.