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Finding the Fourth Proportional to 521.19, 780.98 and 277.65

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Solution

The fourth proportional to 521.19, 780.98 and 277.65 is: 416.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.19 : 780.98 = 277.65 : x
  2. Step 2: Convert to fraction form
    521.19/780.98 = 277.65/x
  3. Step 3: Cross multiply
    521.19x = 780.98 × 277.65
  4. Step 4: Simplify right side
    521.19x = 216,837.71
  5. Step 5: Solve for x
    x = 216,837.71/521.19
  6. Step 6: Final answer
    x = 416.04

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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.