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Finding the Fourth Proportional to 522.01, 782.99 and 175.35

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Solution

The fourth proportional to 522.01, 782.99 and 175.35 is: 263.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.01 : 782.99 = 175.35 : x
  2. Step 2: Convert to fraction form
    522.01/782.99 = 175.35/x
  3. Step 3: Cross multiply
    522.01x = 782.99 × 175.35
  4. Step 4: Simplify right side
    522.01x = 137,298.80
  5. Step 5: Solve for x
    x = 137,298.80/522.01
  6. Step 6: Final answer
    x = 263.02

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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.