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Finding the Fourth Proportional to 581.64, 872.54 and 474.36

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Solution

The fourth proportional to 581.64, 872.54 and 474.36 is: 711.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.64 : 872.54 = 474.36 : x
  2. Step 2: Convert to fraction form
    581.64/872.54 = 474.36/x
  3. Step 3: Cross multiply
    581.64x = 872.54 × 474.36
  4. Step 4: Simplify right side
    581.64x = 413,898.07
  5. Step 5: Solve for x
    x = 413,898.07/581.64
  6. Step 6: Final answer
    x = 711.61

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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.