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Finding the Fourth Proportional to 557.91, 835.47 and 384.75

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Solution

The fourth proportional to 557.91, 835.47 and 384.75 is: 576.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.91 : 835.47 = 384.75 : x
  2. Step 2: Convert to fraction form
    557.91/835.47 = 384.75/x
  3. Step 3: Cross multiply
    557.91x = 835.47 × 384.75
  4. Step 4: Simplify right side
    557.91x = 321,447.08
  5. Step 5: Solve for x
    x = 321,447.08/557.91
  6. Step 6: Final answer
    x = 576.16

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Why These Related Problems?

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