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Finding the Fourth Proportional to 504.10, 759.58 and 414.80

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Solution

The fourth proportional to 504.10, 759.58 and 414.80 is: 625.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.10 : 759.58 = 414.80 : x
  2. Step 2: Convert to fraction form
    504.10/759.58 = 414.80/x
  3. Step 3: Cross multiply
    504.10x = 759.58 × 414.80
  4. Step 4: Simplify right side
    504.10x = 315,073.78
  5. Step 5: Solve for x
    x = 315,073.78/504.10
  6. Step 6: Final answer
    x = 625.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.