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Finding the Fourth Proportional to 521.01, 782.91 and 277.65

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Solution

The fourth proportional to 521.01, 782.91 and 277.65 is: 417.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.01 : 782.91 = 277.65 : x
  2. Step 2: Convert to fraction form
    521.01/782.91 = 277.65/x
  3. Step 3: Cross multiply
    521.01x = 782.91 × 277.65
  4. Step 4: Simplify right side
    521.01x = 217,374.96
  5. Step 5: Solve for x
    x = 217,374.96/521.01
  6. Step 6: Final answer
    x = 417.22

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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.