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Finding the Fourth Proportional to 521.69, 782.53 and 424.07

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Solution

The fourth proportional to 521.69, 782.53 and 424.07 is: 636.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.69 : 782.53 = 424.07 : x
  2. Step 2: Convert to fraction form
    521.69/782.53 = 424.07/x
  3. Step 3: Cross multiply
    521.69x = 782.53 × 424.07
  4. Step 4: Simplify right side
    521.69x = 331,845.46
  5. Step 5: Solve for x
    x = 331,845.46/521.69
  6. Step 6: Final answer
    x = 636.10

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Similar ratio
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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.