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Finding the Fourth Proportional to 557.61, 836.54 and 384.34

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Solution

The fourth proportional to 557.61, 836.54 and 384.34 is: 576.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.61 : 836.54 = 384.34 : x
  2. Step 2: Convert to fraction form
    557.61/836.54 = 384.34/x
  3. Step 3: Cross multiply
    557.61x = 836.54 × 384.34
  4. Step 4: Simplify right side
    557.61x = 321,514.91
  5. Step 5: Solve for x
    x = 321,514.91/557.61
  6. Step 6: Final answer
    x = 576.60

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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.