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Finding the Fourth Proportional to 522.79, 784.10 and 176.06

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Solution

The fourth proportional to 522.79, 784.10 and 176.06 is: 264.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.79 : 784.10 = 176.06 : x
  2. Step 2: Convert to fraction form
    522.79/784.10 = 176.06/x
  3. Step 3: Cross multiply
    522.79x = 784.10 × 176.06
  4. Step 4: Simplify right side
    522.79x = 138,048.65
  5. Step 5: Solve for x
    x = 138,048.65/522.79
  6. Step 6: Final answer
    x = 264.06

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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.