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Finding the Fourth Proportional to 585.72, 879.36 and 368.64

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Solution

The fourth proportional to 585.72, 879.36 and 368.64 is: 553.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.72 : 879.36 = 368.64 : x
  2. Step 2: Convert to fraction form
    585.72/879.36 = 368.64/x
  3. Step 3: Cross multiply
    585.72x = 879.36 × 368.64
  4. Step 4: Simplify right side
    585.72x = 324,167.27
  5. Step 5: Solve for x
    x = 324,167.27/585.72
  6. Step 6: Final answer
    x = 553.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.