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Finding the Fourth Proportional to 557.86, 837.78 and 529.52

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Solution

The fourth proportional to 557.86, 837.78 and 529.52 is: 795.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.86 : 837.78 = 529.52 : x
  2. Step 2: Convert to fraction form
    557.86/837.78 = 529.52/x
  3. Step 3: Cross multiply
    557.86x = 837.78 × 529.52
  4. Step 4: Simplify right side
    557.86x = 443,621.27
  5. Step 5: Solve for x
    x = 443,621.27/557.86
  6. Step 6: Final answer
    x = 795.22

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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.