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Finding the Fourth Proportional to 522.86, 784.35 and 176.23

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Solution

The fourth proportional to 522.86, 784.35 and 176.23 is: 264.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.86 : 784.35 = 176.23 : x
  2. Step 2: Convert to fraction form
    522.86/784.35 = 176.23/x
  3. Step 3: Cross multiply
    522.86x = 784.35 × 176.23
  4. Step 4: Simplify right side
    522.86x = 138,226.00
  5. Step 5: Solve for x
    x = 138,226.00/522.86
  6. Step 6: Final answer
    x = 264.37

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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.