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Finding the Fourth Proportional to 536.08, 802.90 and 419.80

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Solution

The fourth proportional to 536.08, 802.90 and 419.80 is: 628.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.08 : 802.90 = 419.80 : x
  2. Step 2: Convert to fraction form
    536.08/802.90 = 419.80/x
  3. Step 3: Cross multiply
    536.08x = 802.90 × 419.80
  4. Step 4: Simplify right side
    536.08x = 337,052.36
  5. Step 5: Solve for x
    x = 337,052.36/536.08
  6. Step 6: Final answer
    x = 628.74

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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.